FLA_Error FLA_Her2k_lh_unb_var2( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C ) { FLA_Obj AL, AR, A0, a1, A2; FLA_Obj BL, BR, B0, b1, B2; FLA_Obj CTL, CTR, C00, c01, C02, CBL, CBR, c10t, gamma11, c12t, C20, c21, C22; FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C ); FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT ); FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){ FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &a1, &A2, 1, FLA_RIGHT ); FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2, 1, FLA_RIGHT ); FLA_Repart_2x2_to_3x3( CTL, /**/ CTR, &C00, /**/ &c01, &C02, /* ************* */ /* ************************** */ &c10t, /**/ &gamma11, &c12t, CBL, /**/ CBR, &C20, /**/ &c21, &C22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ /* c10t = c10t + b1' * A0 */ FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, alpha, A0, b1, FLA_ONE, c10t ); /* c21 = c21 + A2' * b1 */ FLA_Gemv_external( FLA_CONJ_TRANSPOSE, alpha, A2, b1, FLA_ONE, c21 ); /* gamma11 = gamma11 + a1' * b1 + b1' * a1 */ FLA_Dot2cs_external( FLA_CONJUGATE, alpha, a1, b1, FLA_ONE, gamma11 ); /*------------------------------------------------------------*/ FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, a1, /**/ A2, FLA_LEFT ); FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2, FLA_LEFT ); FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR, C00, c01, /**/ C02, c10t, gamma11, /**/ c12t, /* ************** */ /* ************************ */ &CBL, /**/ &CBR, C20, c21, /**/ C22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Eig_gest_iu_unb_var2( FLA_Obj A, FLA_Obj Y, FLA_Obj B ) { 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; }
FLA_Error FLA_Her2k_un_unb_var6( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C ) { FLA_Obj AT, A0, AB, a1t, A2; FLA_Obj BT, B0, BB, b1t, B2; FLA_Obj CTL, CTR, C00, c01, C02, CBL, CBR, c10t, gamma11, c12t, C20, c21, C22; FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C ); FLA_Part_2x1( A, &AT, &AB, 0, FLA_BOTTOM ); FLA_Part_2x1( B, &BT, &BB, 0, FLA_BOTTOM ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_BR ); while ( FLA_Obj_length( AB ) < FLA_Obj_length( A ) ){ FLA_Repart_2x1_to_3x1( AT, &A0, &a1t, /* ** */ /* ** */ AB, &A2, 1, FLA_TOP ); FLA_Repart_2x1_to_3x1( BT, &B0, &b1t, /* ** */ /* ** */ BB, &B2, 1, FLA_TOP ); FLA_Repart_2x2_to_3x3( CTL, /**/ CTR, &C00, &c01, /**/ &C02, &c10t, &gamma11, /**/ &c12t, /* ************* */ /* ************************** */ CBL, /**/ CBR, &C20, &c21, /**/ &C22, 1, 1, FLA_TL ); /*------------------------------------------------------------*/ /* c01 = c01 + A0 * b1t' */ FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, alpha, A0, b1t, FLA_ONE, c01 ); /* c12t = c12t + b1t * A2' */ FLA_Gemv_external( FLA_CONJ_NO_TRANSPOSE, alpha, A2, b1t, FLA_ONE, c12t ); /* gamma11 = gamma11 + a1t * b1t' + b1t * a1t' */ FLA_Dot2cs_external( FLA_CONJUGATE, alpha, a1t, b1t, FLA_ONE, gamma11 ); /*------------------------------------------------------------*/ FLA_Cont_with_3x1_to_2x1( &AT, A0, /* ** */ /* ** */ a1t, &AB, A2, FLA_BOTTOM ); FLA_Cont_with_3x1_to_2x1( &BT, B0, /* ** */ /* ** */ b1t, &BB, B2, FLA_BOTTOM ); FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR, C00, /**/ c01, C02, /* ************** */ /* ************************ */ c10t, /**/ gamma11, c12t, &CBL, /**/ &CBR, C20, /**/ c21, C22, FLA_BR ); } return FLA_SUCCESS; }
FLA_Error FLA_Dot2cs( FLA_Conj conj, FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj beta, FLA_Obj rho ) { return FLA_Dot2cs_external( conj, alpha, x, y, beta, rho ); }