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Functions | |
FLA_Error | FLA_Eig_gest_il_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_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_ZERO.
Referenced by FLA_Eig_gest_il().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj BTL, BTR, B00, b01, B02, BBL, BBR, b10t, beta11, b12t, B20, b21, B22; FLA_Obj yL, yR, y10t, psi11, y12t; FLA_Obj y10t_t, y10t_b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( B, &BTL, &BTR, &BBL, &BBR, 0, 0, FLA_TL ); FLA_Part_1x2( Y, &yL, &yR, 0, FLA_LEFT ); while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, /* ************* */ /* ************************** */ &a10t, /**/ &alpha11, &a12t, ABL, /**/ ABR, &A20, /**/ &a21, &A22, 1, 1, FLA_BR ); FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02, /* ************* */ /* ************************* */ &b10t, /**/ &beta11, &b12t, BBL, /**/ BBR, &B20, /**/ &b21, &B22, 1, 1, FLA_BR ); FLA_Repart_1x2_to_1x3( yL, /**/ yR, &y10t, /**/ &psi11, &y12t, 1, FLA_RIGHT ); /*------------------------------------------------------------*/ FLA_Part_2x1( y10t, &y10t_t, &y10t_b, 1, FLA_TOP ); // y10t = 1/2 * b10t * A00; // y10t^T = 1/2 * A00^T * b10t^T; // = 1/2 * conj(A00) * b10t^T; FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE, FLA_ONE_HALF, A00, b10t, FLA_ZERO, y10t_t ); // a10t = a10t - y10t; FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t ); // alpha11 = alpha11 - a10t * b10t' - b10t * a10t'; FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 ); // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11)); // = inv(beta11) * alpha11 * inv(beta11); FLA_Inv_scal_external( beta11, alpha11 ); FLA_Inv_scal_external( beta11, alpha11 ); // a21 = a21 - A20 * b10t'; FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 ); // a21 = a21 * inv(conj(beta11)); // = a21 * inv(beta11); FLA_Inv_scal_external( beta11, a21 ); // a10t = a10t - y10t; FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t ); // a10t = inv(beta11) * a10t; FLA_Inv_scal_external( beta11, a10t ); /*------------------------------------------------------------*/ FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, a10t, alpha11, /**/ a12t, /* ************** */ /* ************************ */ &ABL, /**/ &ABR, A20, a21, /**/ A22, FLA_TL ); FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02, b10t, beta11, /**/ b12t, /* ************** */ /* *********************** */ &BBL, /**/ &BBR, B20, b21, /**/ B22, FLA_TL ); FLA_Cont_with_1x3_to_1x2( &yL, /**/ &yR, y10t, psi11, /**/ y12t, FLA_LEFT ); } return FLA_SUCCESS; }