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Functions | |
FLA_Error | FLA_Eig_gest_nu_blk_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl) |
FLA_Error FLA_Eig_gest_nu_blk_var2 | ( | FLA_Obj | A, |
FLA_Obj | Y, | ||
FLA_Obj | B, | ||
fla_eig_gest_t * | cntl | ||
) |
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_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_Trmm_internal(), and FLA_ZERO.
Referenced by FLA_Eig_gest_nu().
{ 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 * triu( B11 )'; FLA_Trmm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B11, A01, FLA_Cntl_sub_trmm1( cntl ) ); // A01 = A01 + A02 * B12'; FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE, FLA_ONE, A02, B12, FLA_ONE, A01, FLA_Cntl_sub_gemm1( cntl ) ); // Y12 = B12 * A22; FLA_Hemm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_ONE, A22, B12, FLA_ZERO, Y12_t, FLA_Cntl_sub_hemm( cntl ) ); // A12 = triu( B11 ) * A12; FLA_Trmm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B11, A12, FLA_Cntl_sub_trmm2( cntl ) ); // A12 = A12 + 1/2 * Y12; FLA_Axpy_internal( FLA_ONE_HALF, Y12_t, A12, FLA_Cntl_sub_axpy1( cntl ) ); // A11 = triu( B11 ) * A11 * triu( B11 )'; FLA_Eig_gest_internal( FLA_NO_INVERSE, FLA_UPPER_TRIANGULAR, A11, Y11, B11, FLA_Cntl_sub_eig_gest( cntl ) ); // A11 = A11 + A12 * B12' + B12 * A12'; FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_ONE, A12, B12, FLA_ONE, A11, FLA_Cntl_sub_her2k( cntl ) ); // A12 = A12 + 1/2 * Y12; FLA_Axpy_internal( FLA_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; }