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Functions
FLA_Eig_gest_iu.h File Reference

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Functions

FLA_Error FLA_Eig_gest_iu_blk_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_iu_blk_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_iu_blk_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_iu_blk_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_iu_blk_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
FLA_Error FLA_Eig_gest_iu_unb_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_unb_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_unb_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_unb_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_unb_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_opt_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_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_iu_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_iu_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_iu_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_iu_opt_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_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_iu_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_iu_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_iu_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_iu_opt_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_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_iu_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_iu_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_iu_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_iu_opt_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_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_iu_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_iu_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_iu_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_iu_opt_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error FLA_Eig_gest_iu_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_iu_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_iu_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_iu_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_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_iu().

{
  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 Y01_l, Y01_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( Y01,    &Y01_l, &Y01_r,    b, FLA_LEFT );

    // Y01 = A00 * B01;
    FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_ONE, A00, B01, FLA_ZERO, Y01_l,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A01 = inv( triu( B00 )' ) * A01;
    FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B00, A01,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A01 = A01 - 1/2 * Y01;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y01_l, A01,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = A11 - A01' * B01 - B01' * A01;
    FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_MINUS_ONE, A01, B01, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

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

    // A01 = A01 - 1/2 * Y01;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y01_l, A01,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A01 = A01 * inv( triu( B11 ) );
    FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR,
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A01,
                       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;
}

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_Obj_length(), FLA_ONE, FLA_ONE_HALF, 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_iu().

{
  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 Y01_l, Y01_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( Y01,    &Y01_l, &Y01_r,    b, FLA_LEFT );

    // Y01 = 1/2 * A00 * B01;
    FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_ONE_HALF, A00, B01, FLA_ZERO, Y01_l,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A01 = A01 - Y01;
    FLA_Axpy_internal( FLA_MINUS_ONE, Y01_l, A01,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = A11 - A01' * B01 - B01' * A01;
    FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_MINUS_ONE, A01, B01, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

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

    // A12 = A12 - B01' * A02;
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, B01, A02, FLA_ONE, A12,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // A12 = inv( triu( B11 )' ) * A12;
    FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A12,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A01 = A01 - Y01;
    FLA_Axpy_internal( FLA_MINUS_ONE, Y01_l, A01,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A01 = A01 * inv( triu( B11 ) );
    FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR,
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A01,
                       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;
}

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_iu().

{
  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 );

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

    // A01 = A01 - 1/2 * Y01;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y01, A01,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A11 = A11 - A01' * B01 - B01' * A01;
    FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_MINUS_ONE, A01, B01, FLA_ONE, A11,
                        FLA_Cntl_sub_her2k( cntl ) );

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

    // A12 = A12 - B01' * A02;
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, B01, A02, FLA_ONE, A12,
                       FLA_Cntl_sub_gemm1( cntl ) );

    // A12 = A12 * inv( triu( B11 )' );
    FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A12,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A01 = A01 - 1/2 * Y01;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y01, A01,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A01 = A01 * inv( triu( B11 ) );
    FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A01,
                       FLA_Cntl_sub_trsm2( cntl ) );

    // Y02 = Y02 + A01 * B12;
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_ONE, A01, B12, FLA_ONE, Y02,
                       FLA_Cntl_sub_gemm2( cntl ) );

    // Y12 = A11 * B12;
    FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_ONE, A11, B12, FLA_ZERO, Y12,
                       FLA_Cntl_sub_hemm( cntl ) );

    // Y12 = Y12 + A01' * B02;
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_ONE, A01, B02, FLA_ONE, Y12,
                       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_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_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_iu().

{
  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 Y12_t,
          Y12_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( Y12,    &Y12_t,
                          &Y12_b,    b, FLA_TOP );

    // A01 = A01 * inv( triu( B11 ) );
    FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR,
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A01,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A02 = A02 - A01 * B12;
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A01, B12, FLA_ONE, A02,
                       FLA_Cntl_sub_gemm1( cntl ) );

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

    // Y12 = A11 * B12;
    FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_ONE, A11, B12, FLA_ZERO, Y12_t,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A12 = inv( triu( B11 )' ) * A12;
    FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A12,
                       FLA_Cntl_sub_trsm2( cntl ) );

    // A12 = A12 - 1/2 * Y12;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y12_t, A12,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A22 = A22 - A12' * B12 - B12' * A12;
    FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_MINUS_ONE, A12, B12, FLA_ONE, A22,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A12 = A12 - 1/2 * Y12;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y12_t, A12,
                       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_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_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_iu().

{
  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 Y12_t,
          Y12_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( Y12,    &Y12_t,
                          &Y12_b,    b, FLA_TOP );

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

    // Y12 = A11 * B12;
    FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_ONE, A11, B12, FLA_ZERO, Y12_t,
                       FLA_Cntl_sub_hemm( cntl ) );

    // A12 = inv( triu( B11 )' ) * A12;
    FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B11, A12,
                       FLA_Cntl_sub_trsm1( cntl ) );

    // A12 = A12 - 1/2 * Y12;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y12_t, A12,
                       FLA_Cntl_sub_axpy1( cntl ) );

    // A22 = A22 - A12' * B12 - B12' * A12;
    FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
                        FLA_MINUS_ONE, A12, B12, FLA_ONE, A22,
                        FLA_Cntl_sub_her2k( cntl ) );

    // A12 = A12 - 1/2 * Y12;
    FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y12_t, A12,
                       FLA_Cntl_sub_axpy2( cntl ) );

    // A12 = A12 * inv( triu( B22 ) );
    FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR,
                       FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, B22, A12,
                       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;
}
FLA_Error FLA_Eig_gest_iu_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_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    scomplex* y01      = buff_y + (0  )*inc_y;

    scomplex* B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    scomplex* b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE, A00, b01, FLA_ZERO, y01_l );
    bl1_chemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a01 );
    bl1_ctrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJ_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00, rs_B, cs_B,
               a01, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01_l, a01 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_cdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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, y01_l, a01 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_NO_CONJUGATE, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    scomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    scomplex* y01      = buff_y + (0  )*inc_y;

    scomplex* b01      = buff_B + (i  )*cs_B + (0  )*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_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b01, FLA_ZERO, y01_l );
    bl1_chemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1h,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_cdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_cgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    scomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    scomplex* y01      = buff_Y + (i  )*cs_Y + (0  )*rs_Y;
    scomplex* Y02      = buff_Y + (i+1)*cs_Y + (0  )*rs_Y;
    scomplex* y12t     = buff_Y + (i+1)*cs_Y + (i  )*rs_Y;

    scomplex* b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    scomplex* B02      = buff_B + (i+1)*cs_B + (0  )*rs_B;
    scomplex* b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

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

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

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_cdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_cgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );
  
    // FLA_Inv_scal_external( beta11, a01 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_ONE, a01, b12t, Y02 );
    bl1_cger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_1,
              a01,  rs_A,
              b12t, cs_B,
              Y02,  rs_Y, cs_Y );

    // FLA_Copy_external( b12t, y12t );
    // FLA_Scal_external( alpha11, y12t );
    bl1_ccopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b12t, cs_B,
                y12t, cs_Y );
    bl1_cscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y12t, cs_Y );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B02, a01, FLA_ONE, y12t );
    bl1_cgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_1,
               B02, rs_B, cs_B,
               a01, rs_A,
               buff_1,
               y12t, cs_Y );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    scomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*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* b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

    scomplex  psi11;

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

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

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, a01, b12t, A02 );
    bl1_cger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_m1,
              a01,  rs_A,
              b12t, cs_B,
              A02,  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, a12t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_cher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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* a12t     = buff_A + (i+1)*cs_A + (i  )*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* b12t     = buff_B + (i+1)*cs_B + (i  )*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, a12t );
    bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_cher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bl1_ctrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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*   a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    double*   y01      = buff_y + (0  )*inc_y;

    double*   B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    double*   b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE, A00, b01, FLA_ZERO, y01_l );
    bl1_dhemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a01 );
    bl1_dtrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJ_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00, rs_B, cs_B,
               a01, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01_l, a01 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_ddot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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, y01_l, a01 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_NO_CONJUGATE, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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*   a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    double*   a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    double*   y01      = buff_y + (0  )*inc_y;

    double*   b01      = buff_B + (i  )*cs_B + (0  )*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_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b01, FLA_ZERO, y01_l );
    bl1_dhemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1h,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_ddot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_dgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_iu_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*   a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    double*   a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    double*   y01      = buff_Y + (i  )*cs_Y + (0  )*rs_Y;
    double*   Y02      = buff_Y + (i+1)*cs_Y + (0  )*rs_Y;
    double*   y12t     = buff_Y + (i+1)*cs_Y + (i  )*rs_Y;

    double*   b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    double*   B02      = buff_B + (i+1)*cs_B + (0  )*rs_B;
    double*   b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

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

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

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_ddot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_dgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );
  
    // FLA_Inv_scal_external( beta11, a01 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_ONE, a01, b12t, Y02 );
    bl1_dger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_1,
              a01,  rs_A,
              b12t, cs_B,
              Y02,  rs_Y, cs_Y );

    // FLA_Copy_external( b12t, y12t );
    // FLA_Scal_external( alpha11, y12t );
    bl1_dcopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b12t, cs_B,
                y12t, cs_Y );
    bl1_dscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y12t, cs_Y );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B02, a01, FLA_ONE, y12t );
    bl1_dgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_1,
               B02, rs_B, cs_B,
               a01, rs_A,
               buff_1,
               y12t, cs_Y );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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*   a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    double*   a12t     = buff_A + (i+1)*cs_A + (i  )*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*   b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

    double    psi11;

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

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

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, a01, b12t, A02 );
    bl1_dger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_m1,
              a01,  rs_A,
              b12t, cs_B,
              A02,  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, a12t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_dher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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*   a12t     = buff_A + (i+1)*cs_A + (i  )*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*   b12t     = buff_B + (i+1)*cs_B + (i  )*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, a12t );
    bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_dher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bl1_dtrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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*    a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    float*    y01      = buff_y + (0  )*inc_y;

    float*    B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    float*    b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE, A00, b01, FLA_ZERO, y01_l );
    bl1_shemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a01 );
    bl1_strsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJ_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00, rs_B, cs_B,
               a01, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01_l, a01 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_sdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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, y01_l, a01 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_NO_CONJUGATE, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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*    a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    float*    a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    float*    y01      = buff_y + (0  )*inc_y;

    float*    b01      = buff_B + (i  )*cs_B + (0  )*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_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b01, FLA_ZERO, y01_l );
    bl1_shemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1h,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_sdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_sgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_iu_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*    a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    float*    a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    float*    y01      = buff_Y + (i  )*cs_Y + (0  )*rs_Y;
    float*    Y02      = buff_Y + (i+1)*cs_Y + (0  )*rs_Y;
    float*    y12t     = buff_Y + (i+1)*cs_Y + (i  )*rs_Y;

    float*    b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    float*    B02      = buff_B + (i+1)*cs_B + (0  )*rs_B;
    float*    b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

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

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

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_sdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_sgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );
  
    // FLA_Inv_scal_external( beta11, a01 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_ONE, a01, b12t, Y02 );
    bl1_sger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_1,
              a01,  rs_A,
              b12t, cs_B,
              Y02,  rs_Y, cs_Y );

    // FLA_Copy_external( b12t, y12t );
    // FLA_Scal_external( alpha11, y12t );
    bl1_scopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b12t, cs_B,
                y12t, cs_Y );
    bl1_sscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y12t, cs_Y );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B02, a01, FLA_ONE, y12t );
    bl1_sgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_1,
               B02, rs_B, cs_B,
               a01, rs_A,
               buff_1,
               y12t, cs_Y );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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*    a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    float*    a12t     = buff_A + (i+1)*cs_A + (i  )*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*    b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

    float     psi11;

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

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

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, a01, b12t, A02 );
    bl1_sger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_m1,
              a01,  rs_A,
              b12t, cs_B,
              A02,  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, a12t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_sher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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*    a12t     = buff_A + (i+1)*cs_A + (i  )*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*    b12t     = buff_B + (i+1)*cs_B + (i  )*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, a12t );
    bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_sher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bl1_strsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}

References FLA_Eig_gest_iu_opc_var1(), FLA_Eig_gest_iu_opd_var1(), FLA_Eig_gest_iu_ops_var1(), FLA_Eig_gest_iu_opz_var1(), 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_iu().

{
  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_iu_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( yL );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_iu_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( yL );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_iu_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( yL );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_iu_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_iu_opc_var2(), FLA_Eig_gest_iu_opd_var2(), FLA_Eig_gest_iu_ops_var2(), FLA_Eig_gest_iu_opz_var2(), 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_iu().

{
  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_iu_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( yL );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_iu_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( yL );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_iu_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( yL );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_iu_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_iu_opc_var3(), FLA_Eig_gest_iu_opd_var3(), FLA_Eig_gest_iu_ops_var3(), FLA_Eig_gest_iu_opz_var3(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), and FLA_Obj_row_stride().

Referenced by FLA_Eig_gest_iu().

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

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

  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_iu_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_iu_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_iu_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_iu_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_iu_opc_var4(), FLA_Eig_gest_iu_opd_var4(), FLA_Eig_gest_iu_ops_var4(), FLA_Eig_gest_iu_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_iu().

{
  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_iu_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_iu_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_iu_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_iu_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_iu_opc_var5(), FLA_Eig_gest_iu_opd_var5(), FLA_Eig_gest_iu_ops_var5(), FLA_Eig_gest_iu_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_iu().

{
  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_iu_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_iu_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_iu_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_iu_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_iu_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_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_ONE, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;

    dcomplex* y01      = buff_y + (0  )*inc_y;

    dcomplex* B00      = buff_B + (0  )*cs_B + (0  )*rs_B;
    dcomplex* b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;

    int       m_behind = i;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE, A00, b01, FLA_ZERO, y01_l );
    bl1_zhemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B00, a01 );
    bl1_ztrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJ_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_behind,
               B00, rs_B, cs_B,
               a01, rs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01_l, a01 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_zdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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, y01_l, a01 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_NO_CONJUGATE, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    dcomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    dcomplex* y01      = buff_y + (0  )*inc_y;

    dcomplex* b01      = buff_B + (i  )*cs_B + (0  )*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_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
    //                     FLA_ONE_HALF, A00, b01, FLA_ZERO, y01_l );
    bl1_zhemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_CONJUGATE,
               m_behind,
               buff_1h,
               A00, rs_A, cs_A,
               b01, rs_B,
               buff_0,
               y01, inc_y );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_zdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_zgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1,
                y01, inc_y,
                a01, rs_A );

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_TRANSPOSE, FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, and FLA_ONE.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    dcomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;

    dcomplex* y01      = buff_Y + (i  )*cs_Y + (0  )*rs_Y;
    dcomplex* Y02      = buff_Y + (i+1)*cs_Y + (0  )*rs_Y;
    dcomplex* y12t     = buff_Y + (i+1)*cs_Y + (i  )*rs_Y;

    dcomplex* b01      = buff_B + (i  )*cs_B + (0  )*rs_B;
    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    dcomplex* B02      = buff_B + (i+1)*cs_B + (0  )*rs_B;
    dcomplex* b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

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

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

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
    bl1_zdot2s( BLIS1_CONJUGATE,
                m_behind,
                buff_m1,
                a01, rs_A,
                b01, rs_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_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
    bl1_zgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               b01, rs_B,
               buff_1,
               a12t, cs_A );

    // FLA_Inv_scal_external( beta11, a12t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_behind,
                buff_m1h,
                y01, rs_Y,
                a01, rs_A );
  
    // FLA_Inv_scal_external( beta11, a01 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_ONE, a01, b12t, Y02 );
    bl1_zger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_1,
              a01,  rs_A,
              b12t, cs_B,
              Y02,  rs_Y, cs_Y );

    // FLA_Copy_external( b12t, y12t );
    // FLA_Scal_external( alpha11, y12t );
    bl1_zcopyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                b12t, cs_B,
                y12t, cs_Y );
    bl1_zscalv( BLIS1_NO_CONJUGATE,
                m_ahead,
                alpha11,
                y12t, cs_Y );

    // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
    //                     FLA_ONE, B02, a01, FLA_ONE, y12t );
    bl1_zgemv( BLIS1_TRANSPOSE,
               BLIS1_CONJUGATE,
               m_behind,
               m_ahead,
               buff_1,
               B02, rs_B, cs_B,
               a01, rs_A,
               buff_1,
               y12t, cs_Y );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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* a01      = buff_A + (i  )*cs_A + (0  )*rs_A;
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* A02      = buff_A + (i+1)*cs_A + (0  )*rs_A;
    dcomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*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* b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;

    dcomplex  psi11;

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

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

    // FLA_Inv_scal_external( beta11, a01 );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_behind,
                   beta11,
                   a01, rs_A );

    // FLA_Ger_external( FLA_MINUS_ONE, a01, b12t, A02 );
    bl1_zger( BLIS1_NO_CONJUGATE,
              BLIS1_NO_CONJUGATE,
              m_behind,
              m_ahead,
              buff_m1,
              a01,  rs_A,
              b12t, cs_B,
              A02,  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, a12t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_zher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_iu_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_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NONUNIT_DIAG, BLIS1_TRANSPOSE, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_MINUS_ONE_HALF.

Referenced by FLA_Eig_gest_iu_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* a12t     = buff_A + (i+1)*cs_A + (i  )*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* b12t     = buff_B + (i+1)*cs_B + (i  )*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, a12t );
    bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                   m_ahead,
                   beta11,
                   a12t, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_MINUS_ONE, a12t, b12t, A22 );
    bl1_zher2( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               a12t, cs_A,
               b12t, cs_B,
               A22,  rs_A, cs_A );

    // FLA_Axpy_external( psi11, b12t, a12t );
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_ahead,
                &psi11,
                b12t, cs_B,
                a12t, cs_A );

    // FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bl1_ztrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Cont_with_3x1_to_2x1(), 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_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trsv_external(), and FLA_ZERO.

Referenced by FLA_Eig_gest_iu().

{
  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 y01_l, y01_r;

  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 ) ){

    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( y01,    &y01_l, &y01_r,     1, FLA_LEFT );

    // y01 = A00 * b01;
    FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
                        FLA_ONE, A00, b01, FLA_ZERO, y01_l );

    // a01 = inv( triu( B00 )' ) * a01;
    FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       B00, a01 );

    // a01 = a01 - 1/2 * y01;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01_l, a01 );

    // alpha11 = alpha11 - a01' * b01 - b01' * a01;
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, 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 );

    // a01 = a01 - 1/2 * y01;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01_l, a01 );

    // a01 = a01 * inv(beta11);
    FLA_Inv_scal_external( beta11, a01 );

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

    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_3x1_to_2x1(), 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_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_ZERO.

Referenced by FLA_Eig_gest_iu().

{
  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 y01_l, y01_r;

  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 ) ){

    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( y01,    &y01_l, &y01_r,     1, FLA_LEFT );

    // y01 = 1/2 * A00 * b01;
    FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
                        FLA_ONE_HALF, A00, b01, FLA_ZERO, y01_l );

    // a01 = a01 - y01;
    FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );

    // alpha11 = alpha11 - a01' * b01 - b01' * a01;
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, 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 );

    // a12t   = a12t   - b01' * A02; 
    // a12t^T = a12t^T - A02^T * conj(b01); 
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
                        FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );

    // a12t = inv(conj(beta11)) * a12t;
    // a12t = inv(beta11) * a12t;
    FLA_Inv_scal_external( beta11, a12t );

    // a01 = a01 - y01;
    FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );

    // a01 = a01 * inv(beta11);
    FLA_Inv_scal_external( beta11, a01 );

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

    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_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_iu().

{
  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 );

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

    // a01 = a01 - 1/2 * y01;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );

    // alpha11 = alpha11 - a01' * b01 - b01' * a01;
    FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, 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 );

    // a12t   = a12t   - b01' * A02; 
    // a12t^T = a12t^T - A02^T * conj(b01); 
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
                        FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );

    // a12t = inv(conj(beta11)) * a12t;
    // a12t = inv(beta11) * a12t;
    FLA_Inv_scal_external( beta11, a12t );

    // a01 = a01 - 1/2 * y01;
    FLA_Axpy_external( FLA_MINUS_ONE_HALF, y01, a01 );

    // a01 = a01 * inv(beta11);
    FLA_Inv_scal_external( beta11, a01 );

    // Y02 = Y02 + a01 * b12t;
    FLA_Ger_external( FLA_ONE, a01, b12t, Y02 );

    // y12t = alpha11 * b12t;
    FLA_Copy_external( b12t, y12t );
    FLA_Scal_external( alpha11, y12t );

    // y12t   = y12t   + a01' * B02;
    // y12t^T = y12t^T + B02^T * conj(a01);
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
                        FLA_ONE, B02, a01, FLA_ONE, y12t );

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

    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_iu().

{
  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 y12t_t,
  //        y12t_b;

  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_1x2( Y,    &yL,  &yR,      0, FLA_LEFT );

  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_1x2_to_1x3( yL,  /**/ yR,        &y10t, /**/ &psi11,  &y12t,
    //                       1, FLA_RIGHT );

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

    //FLA_Part_2x1( y12t,   &y12t_t,
    //                      &y12t_b,    1, FLA_TOP );

    // a01 = a01 * inv(beta11);
    FLA_Inv_scal_external( beta11, a01 );

    // A02 = A02 - a01 * b12t;
    FLA_Ger_external( FLA_MINUS_ONE, a01, b12t, A02 );

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

    //// y12t = alpha11 * b12t;
    //FLA_Copy_external( b12t, y12t_t );
    //FLA_Scal_external( alpha11, y12t_t );
    // psi11 = - 1/2 * alpha11;
    FLA_Copy_external( alpha11, psi11 );
    FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );

    // a12t = inv(conj(beta11)) * a12t;
    //      = inv(beta11) * a12t;
    FLA_Inv_scal_external( beta11, a12t );

    //// a12t = a12t - 1/2 * y12t;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y12t_t, a12t );
    // a12t = a12t - 1/2 * alpha11 * b12t;
    FLA_Axpy_external( psi11, b12t, a12t );

    // A22 = A22 - a12t' * b12t - b12t' * a12t;
    FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
                        FLA_MINUS_ONE, a12t, b12t, A22 );

    //// a12t = a12t - 1/2 * y12t;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y12t_t, a12t );
    // a12t = a12t - 1/2 * alpha11 * b12t;
    FLA_Axpy_external( psi11, b12t, a12t );

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

    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_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_iu().

{
  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 y12t_t,
  //        y12t_b;

  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_1x2( Y,    &yL,  &yR,      0, FLA_LEFT );

  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_1x2_to_1x3( yL,  /**/ yR,        &y10t, /**/ &psi11,  &y12t,
    //                       1, FLA_RIGHT );

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

    //FLA_Part_2x1( y12t,   &y12t_t,
    //                      &y12t_b,    1, FLA_TOP );

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

    //// y12t = alpha11 * b12t;
    //FLA_Copy_external( b12t, y12t_t );
    //FLA_Scal_external( alpha11, y12t_t );
    // psi11 = - 1/2 * alpha11;
    FLA_Copy_external( alpha11, psi11 );
    FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );

    // a12t = inv(conj(beta11)) * a12t;
    //      = inv(beta11) * a12t;
    FLA_Inv_scal_external( beta11, a12t );

    //// a12t = a12t - 1/2 * y12t;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y12t_t, a12t );
    // a12t = a12t - 1/2 * alpha11 * b12t;
    FLA_Axpy_external( psi11, b12t, a12t );

    // A22 = A22 - a12t' * b12t - b12t' * a12t;
    FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
                        FLA_MINUS_ONE, a12t, b12t, A22 );

    //// a12t = a12t - 1/2 * y12t;
    //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y12t_t, a12t );
    // a12t = a12t - 1/2 * alpha11 * b12t;
    FLA_Axpy_external( psi11, b12t, a12t );

    // a12t   = a12t * inv( tril( B22 ) );
    // a12t^T = inv( triu( B22 )^T ) * a12t^T;
    FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
                       B22, a12t );

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

    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;
}