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Functions | |
FLA_Error | FLA_Eig_gest_iu_blk_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl) |
FLA_Error FLA_Eig_gest_iu_blk_var3 | ( | FLA_Obj | A, |
FLA_Obj | Y, | ||
FLA_Obj | B, | ||
fla_eig_gest_t * | cntl | ||
) |
References FLA_Axpy_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_internal(), and FLA_ZERO.
Referenced by FLA_Eig_gest_iu().
{ 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 YTL, YTR, Y00, Y01, Y02, YBL, YBR, Y10, Y11, Y12, Y20, Y21, Y22; 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_2x2( Y, &YTL, &YTR, &YBL, &YBR, 0, 0, FLA_TL ); 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_2x2_to_3x3( YTL, /**/ YTR, &Y00, /**/ &Y01, &Y02, /* ************* */ /* ******************** */ &Y10, /**/ &Y11, &Y12, YBL, /**/ YBR, &Y20, /**/ &Y21, &Y22, b, b, FLA_BR ); /*------------------------------------------------------------*/ // A01 = A01 - 1/2 * Y01; FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y01, A01, FLA_Cntl_sub_axpy1( cntl ) ); // A11 = A11 - A01' * B01 - B01' * A01; FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_MINUS_ONE, A01, B01, FLA_ONE, A11, FLA_Cntl_sub_her2k( cntl ) ); // A11 = inv( triu( B11 )' ) * A11 * inv( triu( B11 ) ); FLA_Eig_gest_internal( FLA_INVERSE, FLA_UPPER_TRIANGULAR, A11, Y11, B11, FLA_Cntl_sub_eig_gest( cntl ) ); // A12 = A12 - B01' * A02; FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, B01, A02, FLA_ONE, A12, FLA_Cntl_sub_gemm1( cntl ) ); // A12 = A12 * inv( triu( B11 )' ); FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B11, A12, FLA_Cntl_sub_trsm1( cntl ) ); // A01 = A01 - 1/2 * Y01; FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y01, A01, FLA_Cntl_sub_axpy2( cntl ) ); // A01 = A01 * inv( triu( B11 ) ); FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_ONE, B11, A01, FLA_Cntl_sub_trsm2( cntl ) ); // Y02 = Y02 + A01 * B12; FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A01, B12, FLA_ONE, Y02, FLA_Cntl_sub_gemm2( cntl ) ); // Y12 = A11 * B12; FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_ONE, A11, B12, FLA_ZERO, Y12, FLA_Cntl_sub_hemm( cntl ) ); // Y12 = Y12 + A01' * B02; FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A01, B02, FLA_ONE, Y12, FLA_Cntl_sub_gemm3( 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_3x3_to_2x2( &YTL, /**/ &YTR, Y00, Y01, /**/ Y02, Y10, Y11, /**/ Y12, /* ************** */ /* ****************** */ &YBL, /**/ &YBR, Y20, Y21, /**/ Y22, FLA_TL ); } return FLA_SUCCESS; }