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Functions | |
FLA_Error | FLA_Eig_gest_iu_unb_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B) |
FLA_Error FLA_Eig_gest_iu_unb_var1 | ( | FLA_Obj | A, |
FLA_Obj | Y, | ||
FLA_Obj | B | ||
) |
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; }