libflame
revision_anchor
|
Functions | |
FLA_Error | FLA_Eig_gest_nu_unb_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B) |
FLA_Error FLA_Eig_gest_nu_unb_var2 | ( | FLA_Obj | A, |
FLA_Obj | Y, | ||
FLA_Obj | B | ||
) |
References FLA_Axpy_external(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Gemvc_external(), FLA_Hemvc_external(), FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_ZERO.
Referenced by FLA_Eig_gest_nu().
{ 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_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( B, &BTL, &BTR, &BBL, &BBR, 0, 0, FLA_TL ); FLA_Part_1x2( Y, &yL, &yR, 0, FLA_LEFT ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02, /* ************* */ /* ************************* */ &b10t, /**/ &beta11, &b12t, BBL, /**/ BBR, &B20, /**/ &b21, &B22, 1, 1, FLA_BR ); FLA_Repart_1x2_to_1x3( yL, /**/ yR, &y10t, /**/ &psi11, &y12t, 1, FLA_RIGHT ); /*------------------------------------------------------------*/ FLA_Part_2x1( y12t, &y12t_t, &y12t_b, 1, FLA_TOP ); // a01 = a01 * beta11; FLA_Scal_external( beta11, a01 ); // a01 = a01 + A02 * b12t'; FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_ONE, A02, b12t, FLA_ONE, a01 ); // y12t = b12t * A22; // y12t^T = A22^T * b12t^T; FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_ONE, A22, b12t, FLA_ZERO, y12t_t ); // a12t = beta11 * a12t; FLA_Scal_external( beta11, a12t ); // a12t = a12t + 1/2 * y12t; FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t ); // alpha11 = conj(beta11) * alpha11 * beta11; // = beta11 * alpha11 * beta11; FLA_Scal_external( beta11, alpha11 ); FLA_Scal_external( beta11, alpha11 ); // alpha11 = alpha11 + a12t * b12t' + b12t * a12t'; FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a12t, b12t, FLA_ONE, alpha11 ); // a12t = a12t + 1/2 * y12t; FLA_Axpy_external( FLA_ONE_HALF, y12t_t, 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; }