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Functions
FLA_Eig_gest_il.h File Reference

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Functions

FLA_Error FLA_Eig_gest_il_blk_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_il_blk_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_il_blk_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_il_blk_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_il_blk_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_il_unb_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_unb_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_unb_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_unb_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_unb_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_opt_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_ops_var1 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opd_var1 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opc_var1 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opz_var1 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opt_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_ops_var2 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opd_var2 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opc_var2 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opz_var2 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opt_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_ops_var3 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_Y, int rs_Y, int cs_Y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opd_var3 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_Y, int rs_Y, int cs_Y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opc_var3 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_Y, int rs_Y, int cs_Y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opz_var3 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_Y, int rs_Y, int cs_Y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opt_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_ops_var4 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opd_var4 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opc_var4 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opz_var4 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opt_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_il_ops_var5 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opd_var5 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opc_var5 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error FLA_Eig_gest_il_opz_var5 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)

Function Documentation

References FLA_Axpy_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YL,    YR,       Y10, Y11, Y12;

  FLA_Obj Y10_t,
          Y10_b;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_1x2( Y,    &YL,  &YR,      0, FLA_LEFT );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_1x2_to_1x3( YL,  /**/ YR,        &Y10, /**/ &Y11, &Y12,
                           b, FLA_RIGHT );

    /*------------------------------------------------------------*/

    FLA_Part_2x1( Y10,   &Y10_t, 
                         &Y10_b,    b, FLA_TOP );

    // Y10 = B10 * A00;
    FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A00, B10, FLA_ZERO, Y10_t,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A10 = A10 * inv( tril( B00 )' );
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B00, A10,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A10 = A10 - 1/2 * Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y10_t, A10,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = A11 - A10 * B10' - B10 * A10';
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                        FLA_MINUS_ONE, A10, B10, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' );
    FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // A10 = A10 - 1/2 * Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y10_t, A10,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A10 = inv( tril( B11 ) ) * A10;
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trsm2( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_1x3_to_1x2( &YL,  /**/ &YR,        Y10, Y11, /**/ Y12,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YL,    YR,       Y10, Y11, Y12;

  FLA_Obj Y10_t,
          Y10_b;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_1x2( Y,    &YL,  &YR,      0, FLA_LEFT );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_1x2_to_1x3( YL,  /**/ YR,        &Y10, /**/ &Y11, &Y12,
                           b, FLA_RIGHT );

    /*------------------------------------------------------------*/

    FLA_Part_2x1( Y10,   &Y10_t, 
                         &Y10_b,    b, FLA_TOP );

    // Y10 = 1/2 * B10 * A00;
    FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE_HALF, A00, B10, FLA_ZERO, Y10_t,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A10 = A10 - Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE, Y10_t, A10,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = A11 - A10 * B10' - B10 * A10';
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                        FLA_MINUS_ONE, A10, B10, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' );
    FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // A21 = A21 - A20 * B10';
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
                       FLA_MINUS_ONE, A20, B10, FLA_ONE, A21,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // A21 = A21 * inv( tril( B11 )' );
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A10 = A10 - Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE, Y10_t, A10,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A10 = inv( tril( B11 ) ) * A10;
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trsm2( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_1x3_to_1x2( &YL,  /**/ &YR,        Y10, Y11, /**/ Y12,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YTL,   YTR,      Y00, Y01, Y02, 
          YBL,   YBR,      Y10, Y11, Y12,
                           Y20, Y21, Y22;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x2( Y,    &YTL, &YTR,
                      &YBL, &YBR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( YTL, /**/ YTR,       &Y00, /**/ &Y01, &Y02,
                        /* ************* */   /* ******************** */
                                                &Y10, /**/ &Y11, &Y12,
                           YBL, /**/ YBR,       &Y20, /**/ &Y21, &Y22,
                           b, b, FLA_BR );

    /*------------------------------------------------------------*/

    // A10 = A10 - 1/2 * Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y10, A10,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = A11 - A10 * B10' - B10 * A10';
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                        FLA_MINUS_ONE, A10, B10, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' );
    FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // A21 = A21 - A20 * B10';
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
                       FLA_MINUS_ONE, A20, B10, FLA_ONE, A21,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // A21 = A21 * inv( tril( B11 )' );
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A10 = A10 - 1/2 * Y10;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y10, A10,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A10 = inv( tril( B11 ) ) * A10;
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trsm2( cntl ) );

    // Y20 = Y20 + B21 * A10;
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_ONE, B21, A10, FLA_ONE, Y20,
                       FLA_Cntl_sub_gemm2( cntl ) );

    // Y21 = B21 * A11;
    FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A11, B21, FLA_ZERO, Y21,
                       FLA_Cntl_sub_hemm( cntl ) );

    // Y21 = Y21 + B20 * A10';
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
                       FLA_ONE, B20, A10, FLA_ONE, Y21,
                       FLA_Cntl_sub_gemm3( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &YTL, /**/ &YTR,       Y00, Y01, /**/ Y02,
                                                     Y10, Y11, /**/ Y12,
                            /* ************** */  /* ****************** */
                              &YBL, /**/ &YBR,       Y20, Y21, /**/ Y22,
                              FLA_TL );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YT,              Y01,
          YB,              Y11,
                           Y21;

  FLA_Obj Y21_l, Y21_r;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x1( Y,    &YT, 
                      &YB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );


    FLA_Repart_2x1_to_3x1( YT,                  &Y01, 
                        /* ** */              /* *** */
                                                &Y11, 
                           YB,                  &Y21,        b, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    FLA_Part_1x2( Y21,    &Y21_l, &Y21_r,     b, FLA_LEFT );

    // A10 = inv( tril( B11 ) ) * A10;
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A10,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A20 = A20 - B21 * A10;
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, B21, A10, FLA_ONE, A20,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' );
    FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // Y21 = B21 * A11;
    FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A11, B21, FLA_ZERO, Y21_l,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A21 = A21 * inv( tril( B11 )' );
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trsm2( cntl ) );

    // A21 = A21 - 1/2 * Y21;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A22 = A22 - A21 * B21' - B21 * A21';
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                        FLA_MINUS_ONE, A21, B21, FLA_ONE, A22,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A21 = A21 - 1/2 * Y21;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy2( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x1_to_2x1( &YT,                   Y01, 
                                                     Y11, 
                            /* ** */              /* *** */
                              &YB,                   Y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02,
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BTL,   BTR,      B00, B01, B02,
          BBL,   BBR,      B10, B11, B12,
                           B20, B21, B22;

  FLA_Obj YT,              Y01,
          YB,              Y11,
                           Y21;

  FLA_Obj Y21_l, Y21_r;

  dim_t b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x1( Y,    &YT, 
                      &YB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
                        /* ************* */   /* ******************** */
                                                &B10, /**/ &B11, &B12,
                           BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
                           b, b, FLA_BR );

    FLA_Repart_2x1_to_3x1( YT,                  &Y01, 
                        /* ** */              /* *** */
                                                &Y11, 
                           YB,                  &Y21,        b, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    FLA_Part_1x2( Y21,    &Y21_l, &Y21_r,    b, FLA_LEFT );

    // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' );
    FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR,
                           A11, Y11, B11,
                           FLA_Cntl_sub_eig_gest( cntl ) );

    // Y21 = B21 * A11;
    FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_ONE, A11, B21, FLA_ZERO, Y21_l,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A21 = A21 * inv( tril( B11 )' );
    FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A21,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A21 = A21 - 1/2 * Y21;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A22 = A22 - A21 * B21' - B21 * A21';
    FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                        FLA_MINUS_ONE, A21, B21, FLA_ONE, A22,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A21 = A21 - 1/2 * Y21;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y21_l, A21,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A21 = inv( tril( B22 ) ) * A21;
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B22, A21,
                       FLA_Cntl_sub_trsm2( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
                                                     B10, B11, /**/ B12,
                            /* ************** */  /* ****************** */
                              &BBL, /**/ &BBR,       B20, B21, /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x1_to_2x1( &YT,                   Y01, 
                                                     Y11, 
                            /* ** */              /* *** */
                              &YB,                   Y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opc_var1 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_caxpyv(), bl1_cdot2s(), bl1_chemv(), bl1_cinvscalv(), bl1_ctrsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var1().

{
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_0   = FLA_COMPLEX_PTR( FLA_ZERO );
  scomplex* buff_m1  = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  scomplex* buff_m1h = FLA_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    scomplex* y10t     = buff_y + (0  )*inc_y;

    scomplex* B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    scomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A00, b10t, FLA_ZERO, y10t_t );
    bl1_chemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bl1_ctrsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJ_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_cdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opc_var2 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_caxpyv(), bl1_cdot2s(), bl1_cgemv(), bl1_chemv(), bl1_cinvscalv(), BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var2().

{
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_1h  = FLA_COMPLEX_PTR( FLA_ONE_HALF );
  scomplex* buff_0   = FLA_COMPLEX_PTR( FLA_ZERO );
  scomplex* buff_m1  = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    scomplex* y10t     = buff_y + (0  )*inc_y;

    scomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b10t, FLA_ZERO, y10t_t );
    bl1_chemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1h,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_cdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 );
    bl1_cgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opc_var3 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_Y,
int  rs_Y,
int  cs_Y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_caxpyv(), bl1_ccopyv(), bl1_cdot2s(), bl1_cgemv(), bl1_cger(), bl1_cinvscalv(), bl1_cscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_il_opt_var3().

{
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_m1  = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  scomplex* buff_m1h = FLA_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    scomplex* y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    scomplex* Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    scomplex* y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    scomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    scomplex* B20      = buff_B + (0  )*cs_B + (i+1)*rs_B;
    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    scomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_cdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 ); 
    bl1_cgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );
  
    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_ONE, b21, a10t, Y20 );
    bl1_cger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              b21,  rs_B,
              a10t, cs_A,
              Y20,  rs_Y, cs_Y );

    // FLA_Copy_external( b21, y21 );
    // FLA_Scal_external( alpha11, y21 );
    bl1_ccopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b21, rs_B,
                y21, rs_Y );
    bl1_cscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y21, rs_Y );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B20, a10t, FLA_ONE, y21 );
    bl1_cgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               B20,  rs_B, cs_B,
               a10t, cs_A,
               buff_1,
               y21,  rs_Y );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opc_var4 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_caxpyv(), bl1_cger(), bl1_cher2(), bl1_cinvscalv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var4().

{
  scomplex* buff_m1  = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  scomplex* buff_m1h = FLA_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    scomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    scomplex  psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, b21, a10t, A20 );
    bl1_cger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_m1,
              b21,  rs_B,
              a10t, cs_A,
              A20,  rs_A, cs_A );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_cmult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_cher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opc_var5 ( int  m_AB,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_y,
int  inc_y,
scomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_caxpyv(), bl1_cher2(), bl1_cinvscalv(), bl1_ctrsv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var5().

{
  scomplex* buff_m1  = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  scomplex* buff_m1h = FLA_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    scomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    scomplex* B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    scomplex  psi11;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );
    bl1_cinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_cmult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_cher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bl1_ctrsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opd_var1 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_daxpyv(), bl1_ddot2s(), bl1_dhemv(), bl1_dinvscalv(), bl1_dtrsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var1().

{
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_0   = FLA_DOUBLE_PTR( FLA_ZERO );
  double*   buff_m1  = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  double*   buff_m1h = FLA_DOUBLE_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    double*   y10t     = buff_y + (0  )*inc_y;

    double*   B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    double*   b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A00, b10t, FLA_ZERO, y10t_t );
    bl1_dhemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bl1_dtrsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJ_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_ddot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opd_var2 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_daxpyv(), bl1_ddot2s(), bl1_dgemv(), bl1_dhemv(), bl1_dinvscalv(), BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var2().

{
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_1h  = FLA_DOUBLE_PTR( FLA_ONE_HALF );
  double*   buff_0   = FLA_DOUBLE_PTR( FLA_ZERO );
  double*   buff_m1  = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    double*   y10t     = buff_y + (0  )*inc_y;

    double*   b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b10t, FLA_ZERO, y10t_t );
    bl1_dhemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1h,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_ddot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 );
    bl1_dgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opd_var3 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_Y,
int  rs_Y,
int  cs_Y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_daxpyv(), bl1_dcopyv(), bl1_ddot2s(), bl1_dgemv(), bl1_dger(), bl1_dinvscalv(), bl1_dscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_il_opt_var3().

{
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_m1  = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  double*   buff_m1h = FLA_DOUBLE_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    double*   y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    double*   Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    double*   y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    double*   b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    double*   B20      = buff_B + (0  )*cs_B + (i+1)*rs_B;
    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    double*   b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_ddot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 ); 
    bl1_dgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );
  
    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_ONE, b21, a10t, Y20 );
    bl1_dger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              b21,  rs_B,
              a10t, cs_A,
              Y20,  rs_Y, cs_Y );

    // FLA_Copy_external( b21, y21 );
    // FLA_Scal_external( alpha11, y21 );
    bl1_dcopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b21, rs_B,
                y21, rs_Y );
    bl1_dscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y21, rs_Y );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B20, a10t, FLA_ONE, y21 );
    bl1_dgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               B20,  rs_B, cs_B,
               a10t, cs_A,
               buff_1,
               y21,  rs_Y );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opd_var4 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_daxpyv(), bl1_dger(), bl1_dher2(), bl1_dinvscalv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var4().

{
  double*   buff_m1  = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  double*   buff_m1h = FLA_DOUBLE_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    double*   b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    double    psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, b21, a10t, A20 );
    bl1_dger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_m1,
              b21,  rs_B,
              a10t, cs_A,
              A20,  rs_A, cs_A );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_dmult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_dher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opd_var5 ( int  m_AB,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_y,
int  inc_y,
double *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_daxpyv(), bl1_dher2(), bl1_dinvscalv(), bl1_dtrsv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var5().

{
  double*   buff_m1  = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  double*   buff_m1h = FLA_DOUBLE_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    double*   b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    double*   B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    double    psi11;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );
    bl1_dinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_dmult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_dher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bl1_dtrsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_ops_var1 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_saxpyv(), bl1_sdot2s(), bl1_shemv(), bl1_sinvscalv(), bl1_strsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var1().

{
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_0   = FLA_FLOAT_PTR( FLA_ZERO );
  float*    buff_m1  = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  float*    buff_m1h = FLA_FLOAT_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    float*    y10t     = buff_y + (0  )*inc_y;

    float*    B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    float*    b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A00, b10t, FLA_ZERO, y10t_t );
    bl1_shemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bl1_strsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJ_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_sdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_ops_var2 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_saxpyv(), bl1_sdot2s(), bl1_sgemv(), bl1_shemv(), bl1_sinvscalv(), BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var2().

{
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_1h  = FLA_FLOAT_PTR( FLA_ONE_HALF );
  float*    buff_0   = FLA_FLOAT_PTR( FLA_ZERO );
  float*    buff_m1  = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    float*    y10t     = buff_y + (0  )*inc_y;

    float*    b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b10t, FLA_ZERO, y10t_t );
    bl1_shemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1h,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_sdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 );
    bl1_sgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_ops_var3 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_Y,
int  rs_Y,
int  cs_Y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_saxpyv(), bl1_scopyv(), bl1_sdot2s(), bl1_sgemv(), bl1_sger(), bl1_sinvscalv(), bl1_sscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_il_opt_var3().

{
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_m1  = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  float*    buff_m1h = FLA_FLOAT_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    float*    y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    float*    Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    float*    y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    float*    b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    float*    B20      = buff_B + (0  )*cs_B + (i+1)*rs_B;
    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    float*    b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_sdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 ); 
    bl1_sgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );
  
    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_ONE, b21, a10t, Y20 );
    bl1_sger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              b21,  rs_B,
              a10t, cs_A,
              Y20,  rs_Y, cs_Y );

    // FLA_Copy_external( b21, y21 );
    // FLA_Scal_external( alpha11, y21 );
    bl1_scopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b21, rs_B,
                y21, rs_Y );
    bl1_sscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y21, rs_Y );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B20, a10t, FLA_ONE, y21 );
    bl1_sgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               B20,  rs_B, cs_B,
               a10t, cs_A,
               buff_1,
               y21,  rs_Y );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_ops_var4 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_saxpyv(), bl1_sger(), bl1_sher2(), bl1_sinvscalv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var4().

{
  float*    buff_m1  = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  float*    buff_m1h = FLA_FLOAT_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    float*    b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    float     psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, b21, a10t, A20 );
    bl1_sger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_m1,
              b21,  rs_B,
              a10t, cs_A,
              A20,  rs_A, cs_A );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_smult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_sher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_ops_var5 ( int  m_AB,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_y,
int  inc_y,
float *  buff_B,
int  rs_B,
int  cs_B 
)

References bl1_saxpyv(), bl1_sher2(), bl1_sinvscalv(), bl1_strsv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var5().

{
  float*    buff_m1  = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  float*    buff_m1h = FLA_FLOAT_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    float*    b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    float*    B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    float     psi11;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );
    bl1_sinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_smult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_sher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bl1_strsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_il_opc_var1(), FLA_Eig_gest_il_opd_var1(), FLA_Eig_gest_il_ops_var1(), FLA_Eig_gest_il_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_2x1().

Referenced by FLA_Eig_gest_il().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yT, yB;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_2x1( Y,    &yT,
                      &yB,     1, FLA_TOP );

  inc_y    = FLA_Obj_vector_inc( yT );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yT );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_il_ops_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yT );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_il_opd_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yT );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opc_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yT );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opz_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_il_opc_var2(), FLA_Eig_gest_il_opd_var2(), FLA_Eig_gest_il_ops_var2(), FLA_Eig_gest_il_opz_var2(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_2x1().

Referenced by FLA_Eig_gest_il().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yT, yB;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_2x1( Y,    &yT,
                      &yB,     1, FLA_TOP );

  inc_y    = FLA_Obj_vector_inc( yT );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yT );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_il_ops_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yT );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_il_opd_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yT );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opc_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yT );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opz_var2( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_il_opc_var3(), FLA_Eig_gest_il_opd_var3(), FLA_Eig_gest_il_ops_var3(), FLA_Eig_gest_il_opz_var3(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), and FLA_Obj_row_stride().

Referenced by FLA_Eig_gest_il().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_Y, cs_Y;
  int          rs_B, cs_B;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_Y     = FLA_Obj_row_stride( Y );
  cs_Y     = FLA_Obj_col_stride( Y );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_Y = FLA_FLOAT_PTR( Y );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_il_ops_var3( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_Y, rs_Y, cs_Y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_Y = FLA_DOUBLE_PTR( Y );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_il_opd_var3( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_Y, rs_Y, cs_Y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_Y = FLA_COMPLEX_PTR( Y );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opc_var3( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_Y, rs_Y, cs_Y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_Y = FLA_DOUBLE_COMPLEX_PTR( Y );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opz_var3( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_Y, rs_Y, cs_Y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_il_opc_var4(), FLA_Eig_gest_il_opd_var4(), FLA_Eig_gest_il_ops_var4(), FLA_Eig_gest_il_opz_var4(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_1x2().

Referenced by FLA_Eig_gest_il().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yL, yR;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_1x2( Y,    &yL, &yR,     1, FLA_LEFT );

  inc_y    = FLA_Obj_vector_inc( yL );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yL );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_il_ops_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yL );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_il_opd_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yL );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opc_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yL );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opz_var4( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_il_opc_var5(), FLA_Eig_gest_il_opd_var5(), FLA_Eig_gest_il_ops_var5(), FLA_Eig_gest_il_opz_var5(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_1x2().

Referenced by FLA_Eig_gest_il().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yL, yR;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_1x2( Y,    &yL, &yR,     1, FLA_LEFT );

  inc_y    = FLA_Obj_vector_inc( yL );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yL );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_il_ops_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yL );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_il_opd_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yL );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opc_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yL );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_il_opz_var5( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opz_var1 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_zaxpyv(), bl1_zdot2s(), bl1_zhemv(), bl1_zinvscalv(), bl1_ztrsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var1().

{
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_0   = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO );
  dcomplex* buff_m1  = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  dcomplex* buff_m1h = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    dcomplex* y10t     = buff_y + (0  )*inc_y;

    dcomplex* B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    dcomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A00, b10t, FLA_ZERO, y10t_t );
    bl1_zhemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a10t );
    bl1_ztrsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJ_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00,  rs_B, cs_B,
               a10t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_zdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opz_var2 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_zaxpyv(), bl1_zdot2s(), bl1_zgemv(), bl1_zhemv(), bl1_zinvscalv(), BLIS1_CONJUGATE, BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_il_opt_var2().

{
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_1h  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE_HALF );
  dcomplex* buff_0   = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO );
  dcomplex* buff_m1  = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* A00      = buff_A + (0  )*cs_A + (0  )*rs_A;
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    dcomplex* y10t     = buff_y + (0  )*inc_y;

    dcomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b10t, FLA_ZERO, y10t_t );
    bl1_zhemv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_behind,
               buff_1h,
               A00,  rs_A, cs_A,
               b10t, cs_B,
               buff_0,
               y10t, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_zdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 );
    bl1_zgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y10t, inc_y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opz_var3 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_Y,
int  rs_Y,
int  cs_Y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_zaxpyv(), bl1_zcopyv(), bl1_zdot2s(), bl1_zgemv(), bl1_zger(), bl1_zinvscalv(), bl1_zscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_il_opt_var3().

{
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_m1  = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  dcomplex* buff_m1h = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    dcomplex* y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    dcomplex* Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    dcomplex* y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    dcomplex* b10t     = buff_B + (0  )*cs_B + (i  )*rs_B;
    dcomplex* B20      = buff_B + (0  )*cs_B + (i+1)*rs_B;
    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    dcomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
    bl1_zdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a10t, cs_A,
                b10t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 ); 
    bl1_zgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               b10t, cs_B,
               buff_1,
               a21,  rs_A );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );
  
    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y10t, cs_Y,
                a10t, cs_A );

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_ONE, b21, a10t, Y20 );
    bl1_zger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_1,
              b21,  rs_B,
              a10t, cs_A,
              Y20,  rs_Y, cs_Y );

    // FLA_Copy_external( b21, y21 );
    // FLA_Scal_external( alpha11, y21 );
    bl1_zcopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b21, rs_B,
                y21, rs_Y );
    bl1_zscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y21, rs_Y );

    // FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B20, a10t, FLA_ONE, y21 );
    bl1_zgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_ahead,
               m_behind,
               buff_1,
               B20,  rs_B, cs_B,
               a10t, cs_A,
               buff_1,
               y21,  rs_Y );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opz_var4 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_zaxpyv(), bl1_zger(), bl1_zher2(), bl1_zinvscalv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var4().

{
  dcomplex* buff_m1  = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  dcomplex* buff_m1h = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    dcomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;

    dcomplex  psi11;

    int       m_ahead  = m_AB - i - 1;
    int       m_behind = i;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, a10t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a10t, cs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, b21, a10t, A20 );
    bl1_zger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_ahead,
              m_behind,
              buff_m1,
              b21,  rs_B,
              a10t, cs_A,
              A20,  rs_A, cs_A );

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_zmult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_zher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_opz_var5 ( int  m_AB,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_y,
int  inc_y,
dcomplex buff_B,
int  rs_B,
int  cs_B 
)

References bl1_zaxpyv(), bl1_zher2(), bl1_zinvscalv(), bl1_ztrsv(), BLIS1_LOWER_TRIANGULAR, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_il_opt_var5().

{
  dcomplex* buff_m1  = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  dcomplex* buff_m1h = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    dcomplex* b21      = buff_B + (i  )*cs_B + (i+1)*rs_B;
    dcomplex* B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    dcomplex  psi11;

    int       m_ahead  = m_AB - i - 1;

    /*------------------------------------------------------------*/

    // FLA_Inv_scal_external( beta11, alpha11 );
    // FLA_Inv_scal_external( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );
    bl1_zinvscals( beta11, alpha11 );

    // FLA_Copy_external( alpha11, psi11 );
    // FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
    bl1_zmult3( buff_m1h, alpha11, &psi11 );

    // FLA_Inv_scal_external( beta11, a21 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a21, rs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_MINUS_ONE, a21, b21, A22 );
    bl1_zher2( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_ahead,
               buff_m1,
               a21, rs_A,
               b21, rs_B,
               A22, rs_A, cs_A );

    // FLA_Axpy_external( psi11, b21, a21 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b21, rs_B,
                a21, rs_A );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a21 );
    bl1_ztrsv( BLIS1_LOWER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22, rs_B, cs_B,
               a21, rs_A );

    /*------------------------------------------------------------*/

  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Hemvc_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Trsv_external(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  FLA_Obj yL,    yR,       y10t, psi11,  y12t;

  FLA_Obj y10t_t,
          y10t_b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_1x2( Y,    &yL,  &yR,      0, FLA_LEFT );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    FLA_Repart_1x2_to_1x3( yL,  /**/ yR,        &y10t, /**/ &psi11,  &y12t,
                           1, FLA_RIGHT );

    /*------------------------------------------------------------*/

    FLA_Part_2x1( y10t,   &y10t_t,
                          &y10t_b,    1, FLA_TOP );

    // y10t   = b10t * A00;
    // y10t^T = A00^T * b10t^T;
    //        = conj(A00) * b10t^T;
    FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
                        FLA_ONE, A00, b10t, FLA_ZERO, y10t_t );

    // a10t   = a10t * inv( tril( B00 )' );
    // a10t^T = inv( conj(tril( B00 )) ) * a10t^T;
    FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       B00, a10t );

    // a10t = a10t - 1/2 * y10t;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );

    // alpha11 = alpha11 - a10t * b10t' - b10t * a10t';
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );

    // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
    //         = inv(beta11) * alpha11 * inv(beta11);
    FLA_Inv_scal_external( beta11, alpha11 );
    FLA_Inv_scal_external( beta11, alpha11 );

    // a10t = a10t - 1/2 * y10t;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t_t, a10t );

    // a10t = inv(beta11) * a10t;
    FLA_Inv_scal_external( beta11, a10t );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    FLA_Cont_with_1x3_to_1x2( &yL,  /**/ &yR,        y10t, psi11, /**/  y12t,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Gemvc_external(), FLA_Hemvc_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  FLA_Obj yL,    yR,       y10t, psi11,  y12t;

  FLA_Obj y10t_t,
          y10t_b;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_1x2( Y,    &yL,  &yR,      0, FLA_LEFT );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    FLA_Repart_1x2_to_1x3( yL,  /**/ yR,        &y10t, /**/ &psi11,  &y12t,
                           1, FLA_RIGHT );

    /*------------------------------------------------------------*/

    FLA_Part_2x1( y10t,   &y10t_t,
                          &y10t_b,    1, FLA_TOP );

    // y10t   = 1/2 * b10t * A00;
    // y10t^T = 1/2 * A00^T * b10t^T;
    //        = 1/2 * conj(A00) * b10t^T;
    FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
                        FLA_ONE_HALF, A00, b10t, FLA_ZERO, y10t_t );

    // a10t = a10t - y10t;
    FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );

    // alpha11 = alpha11 - a10t * b10t' - b10t * a10t';
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );

    // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
    //         = inv(beta11) * alpha11 * inv(beta11);
    FLA_Inv_scal_external( beta11, alpha11 );
    FLA_Inv_scal_external( beta11, alpha11 );

    // a21 = a21 - A20 * b10t';
    FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
                        FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 );

    // a21 = a21 * inv(conj(beta11));
    //     = a21 * inv(beta11);
    FLA_Inv_scal_external( beta11, a21 );

    // a10t = a10t - y10t;
    FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );

    // a10t = inv(beta11) * a10t;
    FLA_Inv_scal_external( beta11, a10t );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    FLA_Cont_with_1x3_to_1x2( &yL,  /**/ &yR,        y10t, psi11, /**/  y12t,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Dot2cs_external(), FLA_Gemvc_external(), FLA_Ger_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  FLA_Obj YTL,   YTR,      Y00,  y01,   Y02, 
          YBL,   YBR,      y10t, psi11, y12t,
                           Y20,  y21,   Y22;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  FLA_Part_2x2( Y,    &YTL, &YTR,
                      &YBL, &YBR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( YTL, /**/ YTR,       &Y00,  /**/ &y01,   &Y02,
                        /* ************* */   /* ************************ */
                                                &y10t, /**/ &psi11, &y12t,
                           YBL, /**/ YBR,       &Y20,  /**/ &y21,   &Y22,
                           1, 1, FLA_BR );

    /*------------------------------------------------------------*/

    // a10t = a10t - 1/2 * y10t;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );

    // alpha11 = alpha11 - a10t * b10t' - b10t * a10t';
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );

    // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
    //         = inv(beta11) * alpha11 * inv(beta11);
    FLA_Inv_scal_external( beta11, alpha11 );
    FLA_Inv_scal_external( beta11, alpha11 );

    // a21 = a21 - A20 * b10t';
    FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
                        FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 );

    // a21 = a21 * inv(conj(beta11));
    //     = a21 * inv(beta11);
    FLA_Inv_scal_external( beta11, a21 );

    // a10t = a10t - 1/2 * y10t;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y10t, a10t );

    // a10t = inv(beta11) * a10t;
    FLA_Inv_scal_external( beta11, a10t );

    // Y20 = Y20 + b21 * a10t;
    FLA_Ger_external( FLA_ONE, b21, a10t, Y20 );

    // y21 = b21 * alpha11;
    FLA_Copy_external( b21, y21 );
    FLA_Scal_external( alpha11, y21 );

    // y21 = y21 + B20 * a10t';
    FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
                        FLA_ONE, B20, a10t, FLA_ONE, y21 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &YTL, /**/ &YTR,       Y00,  y01,   /**/ Y02,
                                                     y10t, psi11, /**/ y12t,
                            /* ************** */  /* ********************** */
                              &YBL, /**/ &YBR,       Y20,  y21,   /**/ Y22,
                              FLA_TL );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Ger_external(), FLA_Her2c_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  //FLA_Obj yT,              y01,
  //        yB,              psi11,
  //                         y21;

  //FLA_Obj y21_l, y21_r;

  FLA_Obj psi11, y12t,
          y21,   Y22;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  //FLA_Part_2x1( Y,    &yT, 
  //                    &yB,            0, FLA_TOP );

  FLA_Part_2x2( Y,    &psi11, &y12t,
                      &y21,   &Y22,     1, 1, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    //FLA_Repart_2x1_to_3x1( yT,                  &y01,
    //                    /* ** */              /* ***** */
    //                                            &psi11,
    //                       yB,                  &y21,        1, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    //FLA_Part_1x2( y21,    &y21_l, &y21_r,     1, FLA_LEFT );

    // a10t = inv(beta11) * a10t;
    FLA_Inv_scal_external( beta11, a10t );

    // A20 = A20 - b21 * a10t;
    FLA_Ger_external( FLA_MINUS_ONE, b21, a10t, A20 );

    // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
    //         = inv(beta11) * alpha11 * inv(beta11);
    FLA_Inv_scal_external( beta11, alpha11 );
    FLA_Inv_scal_external( beta11, alpha11 );

    //// y21 = b21 * alpha11;
    //FLA_Copy_external( b21, y21_l );
    //FLA_Scal_external( alpha11, y21_l );
    // psi11 = - 1/2 * alpha11;
    FLA_Copy_external( alpha11, psi11 );
    FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );

    // a21 = a21 * inv(conj(beta11));
    //     = a21 * inv(beta11);
    FLA_Inv_scal_external( beta11, a21 );

    //// a21 = a21 - 1/2 * y21;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
    // a21 = a21 - 1/2 * alpha11 * b21;
    FLA_Axpy_external( psi11, b21, a21 );

    // A22 = A22 - a21 * b21' - b21 * a21';
    FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
                        FLA_MINUS_ONE, a21, b21, A22 );

    //// a21 = a21 - 1/2 * y21;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
    // a21 = a21 - 1/2 * alpha11 * b21;
    FLA_Axpy_external( psi11, b21, a21 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    //FLA_Cont_with_3x1_to_2x1( &yT,                   y01, 
    //                                                 psi11, 
    //                        /* ** */              /* ***** */
    //                          &yB,                   y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Her2c_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_Trsv_external().

Referenced by FLA_Eig_gest_il().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BTL,   BTR,      B00,  b01,    B02, 
          BBL,   BBR,      b10t, beta11, b12t,
                           B20,  b21,    B22;

  //FLA_Obj yT,              y01,
  //        yB,              psi11,
  //                         y21;

  //FLA_Obj y21_l, y21_r;

  FLA_Obj psi11, y12t,
          y21,   Y22;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  FLA_Part_2x2( B,    &BTL, &BTR,
                      &BBL, &BBR,     0, 0, FLA_TL );

  //FLA_Part_2x1( Y,    &yT, 
  //                    &yB,            0, FLA_TOP );

  FLA_Part_2x2( Y,    &psi11, &y12t,
                      &y21,   &Y22,     1, 1, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

    FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00,  /**/ &b01,    &B02,
                        /* ************* */   /* ************************* */
                                                &b10t, /**/ &beta11, &b12t,
                           BBL, /**/ BBR,       &B20,  /**/ &b21,    &B22,
                           1, 1, FLA_BR );

    //FLA_Repart_2x1_to_3x1( yT,                  &y01,
    //                    /* ** */              /* ***** */
    //                                            &psi11,
    //                       yB,                  &y21,        1, FLA_BOTTOM );

    /*------------------------------------------------------------*/

    //FLA_Part_1x2( y21,    &y21_l, &y21_r,     1, FLA_LEFT );

    // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
    //         = inv(beta11) * alpha11 * inv(beta11);
    FLA_Inv_scal_external( beta11, alpha11 );
    FLA_Inv_scal_external( beta11, alpha11 );

    //// y21 = b21 * alpha11;
    //FLA_Copy_external( b21, y21_l );
    //FLA_Scal_external( alpha11, y21_l );
    // psi11 = - 1/2 * alpha11;
    FLA_Copy_external( alpha11, psi11 );
    FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );

    // a21 = a21 * inv(conj(beta11));
    //     = a21 * inv(beta11);
    FLA_Inv_scal_external( beta11, a21 );

    //// a21 = a21 - 1/2 * y21;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
    // a21 = a21 - 1/2 * alpha11 * b21;
    FLA_Axpy_external( psi11, b21, a21 );

    // A22 = A22 - a21 * b21' - b21 * a21';
    FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
                        FLA_MINUS_ONE, a21, b21, A22 );

    //// a21 = a21 - 1/2 * y21;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
    // a21 = a21 - 1/2 * alpha11 * b21;
    FLA_Axpy_external( psi11, b21, a21 );

    // a21 = inv( tril( B22 ) ) * a21;
    FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       B22, a21 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

    FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00,  b01,    /**/ B02,
                                                     b10t, beta11, /**/ b12t,
                            /* ************** */  /* *********************** */
                              &BBL, /**/ &BBR,       B20,  b21,    /**/ B22,
                              FLA_TL );

    //FLA_Cont_with_3x1_to_2x1( &yT,                   y01, 
    //                                                 psi11, 
    //                        /* ** */              /* ***** */
    //                          &yB,                   y21,     FLA_TOP );
  }

  return FLA_SUCCESS;
}