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Functions | |
FLA_Error | FLA_Lyap_h_unb_var1 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_unb_var2 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_unb_var3 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_unb_var4 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_blk_var1 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl) |
FLA_Error | FLA_Lyap_h_blk_var2 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl) |
FLA_Error | FLA_Lyap_h_blk_var3 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl) |
FLA_Error | FLA_Lyap_h_blk_var4 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl) |
FLA_Error | FLA_Lyap_h_opt_var1 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_ops_var1 (int m_AC, float *buff_sgn, float *buff_A, int rs_A, int cs_A, float *buff_W, int rs_W, int cs_W, float *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opd_var1 (int m_AC, double *buff_sgn, double *buff_A, int rs_A, int cs_A, double *buff_W, int rs_W, int cs_W, double *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opc_var1 (int m_AC, scomplex *buff_sgn, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_W, int rs_W, int cs_W, scomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opz_var1 (int m_AC, dcomplex *buff_sgn, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_W, int rs_W, int cs_W, dcomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opt_var2 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_ops_var2 (int m_AC, float *buff_sgn, float *buff_A, int rs_A, int cs_A, float *buff_W, int rs_W, int cs_W, float *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opd_var2 (int m_AC, double *buff_sgn, double *buff_A, int rs_A, int cs_A, double *buff_W, int rs_W, int cs_W, double *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opc_var2 (int m_AC, scomplex *buff_sgn, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_W, int rs_W, int cs_W, scomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opz_var2 (int m_AC, dcomplex *buff_sgn, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_W, int rs_W, int cs_W, dcomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opt_var3 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_ops_var3 (int m_AC, float *buff_sgn, float *buff_A, int rs_A, int cs_A, float *buff_W, int rs_W, int cs_W, float *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opd_var3 (int m_AC, double *buff_sgn, double *buff_A, int rs_A, int cs_A, double *buff_W, int rs_W, int cs_W, double *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opc_var3 (int m_AC, scomplex *buff_sgn, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_W, int rs_W, int cs_W, scomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opz_var3 (int m_AC, dcomplex *buff_sgn, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_W, int rs_W, int cs_W, dcomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opt_var4 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C) |
FLA_Error | FLA_Lyap_h_ops_var4 (int m_AC, float *buff_sgn, float *buff_A, int rs_A, int cs_A, float *buff_W, int rs_W, int cs_W, float *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opd_var4 (int m_AC, double *buff_sgn, double *buff_A, int rs_A, int cs_A, double *buff_W, int rs_W, int cs_W, double *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opc_var4 (int m_AC, scomplex *buff_sgn, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_W, int rs_W, int cs_W, scomplex *buff_C, int rs_C, int cs_C) |
FLA_Error | FLA_Lyap_h_opz_var4 (int m_AC, dcomplex *buff_sgn, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_W, int rs_W, int cs_W, dcomplex *buff_C, int rs_C, int cs_C) |
FLA_Error FLA_Lyap_h_blk_var1 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C, | ||
FLA_Obj | scale, | ||
fla_lyap_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Lyap_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj CTL, CTR, C00, C01, C02, CBL, CBR, C10, C11, C12, C20, C21, C22; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ b = FLA_Determine_blocksize( CBR, 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( CTL, /**/ CTR, &C00, /**/ &C01, &C02, /* ************* */ /* ******************** */ &C10, /**/ &C11, &C12, CBL, /**/ CBR, &C20, /**/ &C21, &C22, b, b, FLA_BR ); /*------------------------------------------------------------*/ // C01 = isgn * C01 - C00 * A01; // C01 = sylv( A00', A11, C01 ); FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C00, A01, isgn, C01, FLA_Cntl_sub_hemm( cntl ) ); FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A00, A11, C01, scale, FLA_Cntl_sub_sylv( cntl ) ); // C11 = isgn * C11 - A01' * C01 - C01' * A01; // C11 = lyap_h( A11, C11 ); FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_MINUS_ONE, A01, C01, isgn, C11, FLA_Cntl_sub_her2k( cntl ) ); FLA_Lyap_internal( FLA_CONJ_TRANSPOSE, FLA_ONE, A11, C11, scale, FLA_Cntl_sub_lyap( 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( &CTL, /**/ &CTR, C00, C01, /**/ C02, C10, C11, /**/ C12, /* ************** */ /* ****************** */ &CBL, /**/ &CBR, C20, C21, /**/ C22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_blk_var2 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C, | ||
FLA_Obj | scale, | ||
fla_lyap_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Lyap_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj CTL, CTR, C00, C01, C02, CBL, CBR, C10, C11, C12, C20, C21, C22; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ b = FLA_Determine_blocksize( CBR, 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( CTL, /**/ CTR, &C00, /**/ &C01, &C02, /* ************* */ /* ******************** */ &C10, /**/ &C11, &C12, CBL, /**/ CBR, &C20, /**/ &C21, &C22, b, b, FLA_BR ); /*------------------------------------------------------------*/ // C01 = sylv( A00', A11, C01 ); FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A00, A11, C01, scale, FLA_Cntl_sub_sylv( cntl ) ); // C11 = isgn * C11 - A01' * C01 - C01' * A01; // C11 = lyap_h( A11, C11 ); FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_MINUS_ONE, A01, C01, isgn, C11, FLA_Cntl_sub_her2k( cntl ) ); FLA_Lyap_internal( FLA_CONJ_TRANSPOSE, FLA_ONE, A11, C11, scale, FLA_Cntl_sub_lyap( cntl ) ); // C02 = C02 - C01 * A12; FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, C01, A12, FLA_ONE, C02, FLA_Cntl_sub_gemm1( cntl ) ); // C12 = isgn * C12 - C11 * A12; // C12 = C12 - C01' * A02; FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C11, A12, isgn, C12, FLA_Cntl_sub_hemm( cntl ) ); FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, C01, A02, FLA_ONE, C12, FLA_Cntl_sub_gemm2( 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( &CTL, /**/ &CTR, C00, C01, /**/ C02, C10, C11, /**/ C12, /* ************** */ /* ****************** */ &CBL, /**/ &CBR, C20, C21, /**/ C22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_blk_var3 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C, | ||
FLA_Obj | scale, | ||
fla_lyap_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Lyap_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj CTL, CTR, C00, C01, C02, CBL, CBR, C10, C11, C12, C20, C21, C22; dim_t b; FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ b = FLA_Determine_blocksize( CBR, 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( CTL, /**/ CTR, &C00, /**/ &C01, &C02, /* ************* */ /* ******************** */ &C10, /**/ &C11, &C12, CBL, /**/ CBR, &C20, /**/ &C21, &C22, b, b, FLA_BR ); /*------------------------------------------------------------*/ // C11 = isgn * C11 - A01' * C01 - C01' * A01; // C11 = lyap_h( A11, C11 ); FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_MINUS_ONE, A01, C01, isgn, C11, FLA_Cntl_sub_her2k( cntl ) ); FLA_Lyap_internal( FLA_CONJ_TRANSPOSE, FLA_ONE, A11, C11, scale, FLA_Cntl_sub_lyap( cntl ) ); // C12 = isgn * C12 - A01' * C02 - C01' * A02; FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A01, C02, isgn, C12, FLA_Cntl_sub_gemm1( cntl ) ); FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_MINUS_ONE, C01, A02, FLA_ONE, C12, FLA_Cntl_sub_gemm2( cntl ) ); // C12 = C12 - C11 * A12; // C12 = sylv( A11', A22, C12 ); FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C11, A12, FLA_ONE, C12, FLA_Cntl_sub_hemm( cntl ) ); FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A11, A22, C12, scale, FLA_Cntl_sub_sylv( 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( &CTL, /**/ &CTR, C00, C01, /**/ C02, C10, C11, /**/ C12, /* ************** */ /* ****************** */ &CBL, /**/ &CBR, C20, C21, /**/ C22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_blk_var4 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C, | ||
FLA_Obj | scale, | ||
fla_lyap_t * | cntl | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_Lyap_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_internal(), and FLA_Sylv_internal().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, A01, A02, ABL, ABR, A10, A11, A12, A20, A21, A22; FLA_Obj CTL, CTR, C00, C01, C02, CBL, CBR, C10, C11, C12, C20, C21, C22; dim_t b; // C = isgn * C; FLA_Scal_internal( isgn, C, FLA_Cntl_sub_scal( cntl ) ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ b = FLA_Determine_blocksize( CBR, 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( CTL, /**/ CTR, &C00, /**/ &C01, &C02, /* ************* */ /* ******************** */ &C10, /**/ &C11, &C12, CBL, /**/ CBR, &C20, /**/ &C21, &C22, b, b, FLA_BR ); /*------------------------------------------------------------*/ // C11 = lyap_h( A11, C11 ); FLA_Lyap_internal( FLA_CONJ_TRANSPOSE, FLA_ONE, A11, C11, scale, FLA_Cntl_sub_lyap( cntl ) ); // C12 = C12 - C11 * A12; // C12 = sylv( A11', A22, C12 ); FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C11, A12, FLA_ONE, C12, FLA_Cntl_sub_hemm( cntl ) ); FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A11, A22, C12, scale, FLA_Cntl_sub_sylv( cntl ) ); // C22 = C22 - A12' * C12 - C12' * A12; FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_MINUS_ONE, A12, C12, FLA_ONE, C22, FLA_Cntl_sub_her2k( 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( &CTL, /**/ &CTR, C00, C01, /**/ C02, C10, C11, /**/ C12, /* ************** */ /* ****************** */ &CBL, /**/ &CBR, C20, C21, /**/ C22, FLA_TL ); } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opc_var1 | ( | int | m_AC, |
scomplex * | buff_sgn, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
scomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
scomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_ccopymrt(), bli_cdot2s(), bli_chemv(), bli_cscalm(), bli_cshiftdiag(), bli_ctrsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var1().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_cscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { scomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* C00 = buff_C + (0 )*cs_C + (0 )*rs_C; scomplex* c01 = buff_C + (i )*cs_C + (0 )*rs_C; scomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; scomplex* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; scomplex omega; int m_behind = i; /*------------------------------------------------------------*/ // FLA_Hemv( FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C00, a01, FLA_ONE, c01 ); bli_chemv( BLIS_UPPER_TRIANGULAR, BLIS_NO_CONJUGATE, m_behind, buff_m1, C00, rs_C, cs_C, a01, rs_A, buff_1, c01, rs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_ccopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_cshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_ctrsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_cdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_ccopyconj( alpha11, &omega ); bli_cadd3( alpha11, &omega, &omega ); bli_cinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opc_var2 | ( | int | m_AC, |
scomplex * | buff_sgn, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
scomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
scomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_caxpysv(), bli_ccopymrt(), bli_cdot2s(), bli_cgemv(), bli_cger(), bli_cscalm(), bli_cshiftdiag(), bli_ctrsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var2().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_cscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { scomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; scomplex* c01 = buff_C + (i )*cs_C + (0 )*rs_C; scomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; scomplex* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; scomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; scomplex* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; scomplex omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_ccopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_cshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_ctrsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_cdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_ccopyconj( alpha11, &omega ); bli_cadd3( alpha11, &omega, &omega ); bli_cinvscals( &omega, gamma11 ); // FLA_Ger( FLA_MINUS_ONE, c01, a12t, C02 ); bli_cger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_behind, m_ahead, buff_m1, c01, rs_C, a12t, cs_A, C02, rs_C, cs_C ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); bli_caxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_cgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opc_var3 | ( | int | m_AC, |
scomplex * | buff_sgn, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
scomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
scomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_caxpysv(), bli_ccopymrt(), bli_cdot2s(), bli_cgemv(), bli_cscalm(), bli_cshiftdiag(), bli_ctrsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var3().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_cscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { scomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; scomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; scomplex* c01 = buff_C + (i )*cs_C + (0 )*rs_C; scomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; scomplex* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; scomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; scomplex* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; scomplex omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_cdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_ccopyconj( alpha11, &omega ); bli_cadd3( alpha11, &omega, &omega ); bli_cinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, C02, a01, FLA_ONE, c12t ); bli_caxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_cgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); bli_cgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, C02, rs_C, cs_C, a01, rs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_ccopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_cshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_ctrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opc_var4 | ( | int | m_AC, |
scomplex * | buff_sgn, | ||
scomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
scomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
scomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_caxpysv(), bli_ccopymrt(), bli_cher2(), bli_cscalm(), bli_cshiftdiag(), bli_ctrsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var4().
{ scomplex* buff_1 = FLA_COMPLEX_PTR( FLA_ONE ); scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_cscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { scomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; scomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; scomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; scomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; scomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; scomplex* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; scomplex* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; scomplex omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_ccopyconj( alpha11, &omega ); bli_cadd3( alpha11, &omega, &omega ); bli_cinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); bli_caxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_ccopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_cshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_ctrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Her2c( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, C22 ); bli_cher2( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, C22, rs_C, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opd_var1 | ( | int | m_AC, |
double * | buff_sgn, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
double * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
double * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_dcopymrt(), bli_ddot2s(), bli_dhemv(), bli_dscalm(), bli_dshiftdiag(), bli_dtrsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var1().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; bli_dscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { double* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* C00 = buff_C + (0 )*cs_C + (0 )*rs_C; double* c01 = buff_C + (i )*cs_C + (0 )*rs_C; double* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; double* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; double omega; int m_behind = i; /*------------------------------------------------------------*/ // FLA_Hemv( FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C00, a01, FLA_ONE, c01 ); bli_dhemv( BLIS_UPPER_TRIANGULAR, BLIS_NO_CONJUGATE, m_behind, buff_m1, C00, rs_C, cs_C, a01, rs_A, buff_1, c01, rs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_dcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_dshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_dtrsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_ddot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_dcopyconj( alpha11, &omega ); bli_dadd3( alpha11, &omega, &omega ); bli_dinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opd_var2 | ( | int | m_AC, |
double * | buff_sgn, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
double * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
double * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_daxpysv(), bli_dcopymrt(), bli_ddot2s(), bli_dgemv(), bli_dger(), bli_dscalm(), bli_dshiftdiag(), bli_dtrsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var2().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; bli_dscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { double* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; double* c01 = buff_C + (i )*cs_C + (0 )*rs_C; double* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; double* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; double* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; double* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; double omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_dcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_dshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_dtrsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_ddot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_dcopyconj( alpha11, &omega ); bli_dadd3( alpha11, &omega, &omega ); bli_dinvscals( &omega, gamma11 ); // FLA_Ger( FLA_MINUS_ONE, c01, a12t, C02 ); bli_dger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_behind, m_ahead, buff_m1, c01, rs_C, a12t, cs_A, C02, rs_C, cs_C ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); bli_daxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_dgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opd_var3 | ( | int | m_AC, |
double * | buff_sgn, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
double * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
double * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_daxpysv(), bli_dcopymrt(), bli_ddot2s(), bli_dgemv(), bli_dscalm(), bli_dshiftdiag(), bli_dtrsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var3().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; bli_dscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { double* a01 = buff_A + (i )*cs_A + (0 )*rs_A; double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; double* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; double* c01 = buff_C + (i )*cs_C + (0 )*rs_C; double* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; double* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; double* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; double* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; double omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_ddot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_dcopyconj( alpha11, &omega ); bli_dadd3( alpha11, &omega, &omega ); bli_dinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, C02, a01, FLA_ONE, c12t ); bli_daxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_dgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); bli_dgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, C02, rs_C, cs_C, a01, rs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_dcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_dshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_dtrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opd_var4 | ( | int | m_AC, |
double * | buff_sgn, | ||
double * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
double * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
double * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_daxpysv(), bli_dcopymrt(), bli_dher2(), bli_dscalm(), bli_dshiftdiag(), bli_dtrsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var4().
{ double* buff_1 = FLA_DOUBLE_PTR( FLA_ONE ); double* buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE ); int i; bli_dscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { double* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; double* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; double* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; double* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; double* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; double* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; double* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; double omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_dcopyconj( alpha11, &omega ); bli_dadd3( alpha11, &omega, &omega ); bli_dinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); bli_daxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_dcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_dshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_dtrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Her2c( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, C22 ); bli_dher2( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, C22, rs_C, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_ops_var1 | ( | int | m_AC, |
float * | buff_sgn, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
float * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
float * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_scopymrt(), bli_sdot2s(), bli_shemv(), bli_sscalm(), bli_sshiftdiag(), bli_strsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var1().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; bli_sscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { float* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* C00 = buff_C + (0 )*cs_C + (0 )*rs_C; float* c01 = buff_C + (i )*cs_C + (0 )*rs_C; float* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; float* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; float omega; int m_behind = i; /*------------------------------------------------------------*/ // FLA_Hemv( FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C00, a01, FLA_ONE, c01 ); bli_shemv( BLIS_UPPER_TRIANGULAR, BLIS_NO_CONJUGATE, m_behind, buff_m1, C00, rs_C, cs_C, a01, rs_A, buff_1, c01, rs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_scopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_sshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_strsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_sdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_scopyconj( alpha11, &omega ); bli_sadd3( alpha11, &omega, &omega ); bli_sinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_ops_var2 | ( | int | m_AC, |
float * | buff_sgn, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
float * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
float * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_saxpysv(), bli_scopymrt(), bli_sdot2s(), bli_sgemv(), bli_sger(), bli_sscalm(), bli_sshiftdiag(), bli_strsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var2().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; bli_sscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { float* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; float* c01 = buff_C + (i )*cs_C + (0 )*rs_C; float* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; float* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; float* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; float* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; float omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_scopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_sshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_strsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_sdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_scopyconj( alpha11, &omega ); bli_sadd3( alpha11, &omega, &omega ); bli_sinvscals( &omega, gamma11 ); // FLA_Ger( FLA_MINUS_ONE, c01, a12t, C02 ); bli_sger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_behind, m_ahead, buff_m1, c01, rs_C, a12t, cs_A, C02, rs_C, cs_C ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); bli_saxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_sgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_ops_var3 | ( | int | m_AC, |
float * | buff_sgn, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
float * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
float * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_saxpysv(), bli_scopymrt(), bli_sdot2s(), bli_sgemv(), bli_sscalm(), bli_sshiftdiag(), bli_strsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var3().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; bli_sscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { float* a01 = buff_A + (i )*cs_A + (0 )*rs_A; float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; float* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; float* c01 = buff_C + (i )*cs_C + (0 )*rs_C; float* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; float* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; float* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; float* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; float omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_sdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_scopyconj( alpha11, &omega ); bli_sadd3( alpha11, &omega, &omega ); bli_sinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, C02, a01, FLA_ONE, c12t ); bli_saxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_sgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); bli_sgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, C02, rs_C, cs_C, a01, rs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_scopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_sshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_strsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_ops_var4 | ( | int | m_AC, |
float * | buff_sgn, | ||
float * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
float * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
float * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_saxpysv(), bli_scopymrt(), bli_sher2(), bli_sscalm(), bli_sshiftdiag(), bli_strsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var4().
{ float* buff_1 = FLA_FLOAT_PTR( FLA_ONE ); float* buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE ); int i; bli_sscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { float* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; float* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; float* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; float* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; float* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; float* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; float* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; float omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_scopyconj( alpha11, &omega ); bli_sadd3( alpha11, &omega, &omega ); bli_sinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); bli_saxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_scopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_sshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_strsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Her2c( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, C22 ); bli_sher2( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, C22, rs_C, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opt_var1 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Lyap_h_opc_var1(), FLA_Lyap_h_opd_var1(), FLA_Lyap_h_ops_var1(), FLA_Lyap_h_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), and FLA_Obj_row_stride().
Referenced by FLA_Lyap_h().
{ FLA_Datatype datatype; int m_AC; int rs_A, cs_A; int rs_W, cs_W; int rs_C, cs_C; FLA_Obj W; FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); datatype = FLA_Obj_datatype( A ); m_AC = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); rs_W = FLA_Obj_row_stride( W ); cs_W = FLA_Obj_col_stride( W ); rs_C = FLA_Obj_row_stride( C ); cs_C = FLA_Obj_col_stride( C ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); float* buff_W = FLA_FLOAT_PTR( W ); float* buff_C = FLA_FLOAT_PTR( C ); float* buff_sgn = FLA_FLOAT_PTR( isgn ); FLA_Lyap_h_ops_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); double* buff_W = FLA_DOUBLE_PTR( W ); double* buff_C = FLA_DOUBLE_PTR( C ); double* buff_sgn = FLA_DOUBLE_PTR( isgn ); FLA_Lyap_h_opd_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); scomplex* buff_W = FLA_COMPLEX_PTR( W ); scomplex* buff_C = FLA_COMPLEX_PTR( C ); scomplex* buff_sgn = FLA_COMPLEX_PTR( isgn ); FLA_Lyap_h_opc_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); dcomplex* buff_W = FLA_DOUBLE_COMPLEX_PTR( W ); dcomplex* buff_C = FLA_DOUBLE_COMPLEX_PTR( C ); dcomplex* buff_sgn = FLA_DOUBLE_COMPLEX_PTR( isgn ); FLA_Lyap_h_opz_var1( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } } FLA_Obj_free( &W ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opt_var2 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Lyap_h_opc_var2(), FLA_Lyap_h_opd_var2(), FLA_Lyap_h_ops_var2(), FLA_Lyap_h_opz_var2(), FLA_Obj_col_stride(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), and FLA_Obj_row_stride().
Referenced by FLA_Lyap_h().
{ FLA_Datatype datatype; int m_AC; int rs_A, cs_A; int rs_W, cs_W; int rs_C, cs_C; FLA_Obj W; FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); datatype = FLA_Obj_datatype( A ); m_AC = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); rs_W = FLA_Obj_row_stride( W ); cs_W = FLA_Obj_col_stride( W ); rs_C = FLA_Obj_row_stride( C ); cs_C = FLA_Obj_col_stride( C ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); float* buff_W = FLA_FLOAT_PTR( W ); float* buff_C = FLA_FLOAT_PTR( C ); float* buff_sgn = FLA_FLOAT_PTR( isgn ); FLA_Lyap_h_ops_var2( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); double* buff_W = FLA_DOUBLE_PTR( W ); double* buff_C = FLA_DOUBLE_PTR( C ); double* buff_sgn = FLA_DOUBLE_PTR( isgn ); FLA_Lyap_h_opd_var2( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); scomplex* buff_W = FLA_COMPLEX_PTR( W ); scomplex* buff_C = FLA_COMPLEX_PTR( C ); scomplex* buff_sgn = FLA_COMPLEX_PTR( isgn ); FLA_Lyap_h_opc_var2( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); dcomplex* buff_W = FLA_DOUBLE_COMPLEX_PTR( W ); dcomplex* buff_C = FLA_DOUBLE_COMPLEX_PTR( C ); dcomplex* buff_sgn = FLA_DOUBLE_COMPLEX_PTR( isgn ); FLA_Lyap_h_opz_var2( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } } FLA_Obj_free( &W ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opt_var3 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Lyap_h_opc_var3(), FLA_Lyap_h_opd_var3(), FLA_Lyap_h_ops_var3(), FLA_Lyap_h_opz_var3(), FLA_Obj_col_stride(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), and FLA_Obj_row_stride().
Referenced by FLA_Lyap_h().
{ FLA_Datatype datatype; int m_AC; int rs_A, cs_A; int rs_W, cs_W; int rs_C, cs_C; FLA_Obj W; FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); datatype = FLA_Obj_datatype( A ); m_AC = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); rs_W = FLA_Obj_row_stride( W ); cs_W = FLA_Obj_col_stride( W ); rs_C = FLA_Obj_row_stride( C ); cs_C = FLA_Obj_col_stride( C ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); float* buff_W = FLA_FLOAT_PTR( W ); float* buff_C = FLA_FLOAT_PTR( C ); float* buff_sgn = FLA_FLOAT_PTR( isgn ); FLA_Lyap_h_ops_var3( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); double* buff_W = FLA_DOUBLE_PTR( W ); double* buff_C = FLA_DOUBLE_PTR( C ); double* buff_sgn = FLA_DOUBLE_PTR( isgn ); FLA_Lyap_h_opd_var3( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); scomplex* buff_W = FLA_COMPLEX_PTR( W ); scomplex* buff_C = FLA_COMPLEX_PTR( C ); scomplex* buff_sgn = FLA_COMPLEX_PTR( isgn ); FLA_Lyap_h_opc_var3( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); dcomplex* buff_W = FLA_DOUBLE_COMPLEX_PTR( W ); dcomplex* buff_C = FLA_DOUBLE_COMPLEX_PTR( C ); dcomplex* buff_sgn = FLA_DOUBLE_COMPLEX_PTR( isgn ); FLA_Lyap_h_opz_var3( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } } FLA_Obj_free( &W ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opt_var4 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Lyap_h_opc_var4(), FLA_Lyap_h_opd_var4(), FLA_Lyap_h_ops_var4(), FLA_Lyap_h_opz_var4(), FLA_Obj_col_stride(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), and FLA_Obj_row_stride().
Referenced by FLA_Lyap_h().
{ FLA_Datatype datatype; int m_AC; int rs_A, cs_A; int rs_W, cs_W; int rs_C, cs_C; FLA_Obj W; FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); datatype = FLA_Obj_datatype( A ); m_AC = FLA_Obj_length( A ); rs_A = FLA_Obj_row_stride( A ); cs_A = FLA_Obj_col_stride( A ); rs_W = FLA_Obj_row_stride( W ); cs_W = FLA_Obj_col_stride( W ); rs_C = FLA_Obj_row_stride( C ); cs_C = FLA_Obj_col_stride( C ); switch ( datatype ) { case FLA_FLOAT: { float* buff_A = FLA_FLOAT_PTR( A ); float* buff_W = FLA_FLOAT_PTR( W ); float* buff_C = FLA_FLOAT_PTR( C ); float* buff_sgn = FLA_FLOAT_PTR( isgn ); FLA_Lyap_h_ops_var4( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE: { double* buff_A = FLA_DOUBLE_PTR( A ); double* buff_W = FLA_DOUBLE_PTR( W ); double* buff_C = FLA_DOUBLE_PTR( C ); double* buff_sgn = FLA_DOUBLE_PTR( isgn ); FLA_Lyap_h_opd_var4( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_COMPLEX: { scomplex* buff_A = FLA_COMPLEX_PTR( A ); scomplex* buff_W = FLA_COMPLEX_PTR( W ); scomplex* buff_C = FLA_COMPLEX_PTR( C ); scomplex* buff_sgn = FLA_COMPLEX_PTR( isgn ); FLA_Lyap_h_opc_var4( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } case FLA_DOUBLE_COMPLEX: { dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A ); dcomplex* buff_W = FLA_DOUBLE_COMPLEX_PTR( W ); dcomplex* buff_C = FLA_DOUBLE_COMPLEX_PTR( C ); dcomplex* buff_sgn = FLA_DOUBLE_COMPLEX_PTR( isgn ); FLA_Lyap_h_opz_var4( m_AC, buff_sgn, buff_A, rs_A, cs_A, buff_W, rs_W, cs_W, buff_C, rs_C, cs_C ); break; } } FLA_Obj_free( &W ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opz_var1 | ( | int | m_AC, |
dcomplex * | buff_sgn, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
dcomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
dcomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_zcopymrt(), bli_zdot2s(), bli_zhemv(), bli_zscalm(), bli_zshiftdiag(), bli_ztrsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var1().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_zscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { dcomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* C00 = buff_C + (0 )*cs_C + (0 )*rs_C; dcomplex* c01 = buff_C + (i )*cs_C + (0 )*rs_C; dcomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; dcomplex* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; dcomplex omega; int m_behind = i; /*------------------------------------------------------------*/ // FLA_Hemv( FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C00, a01, FLA_ONE, c01 ); bli_zhemv( BLIS_UPPER_TRIANGULAR, BLIS_NO_CONJUGATE, m_behind, buff_m1, C00, rs_C, cs_C, a01, rs_A, buff_1, c01, rs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_zcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_zshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_ztrsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_zdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_zcopyconj( alpha11, &omega ); bli_zadd3( alpha11, &omega, &omega ); bli_zinvscals( &omega, gamma11 ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opz_var2 | ( | int | m_AC, |
dcomplex * | buff_sgn, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
dcomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
dcomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_zaxpysv(), bli_zcopymrt(), bli_zdot2s(), bli_zgemv(), bli_zger(), bli_zscalm(), bli_zshiftdiag(), bli_ztrsv(), BLIS_CONJ_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var2().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_zscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { dcomplex* A00 = buff_A + (0 )*cs_A + (0 )*rs_A; dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; dcomplex* c01 = buff_C + (i )*cs_C + (0 )*rs_C; dcomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; dcomplex* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; dcomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; dcomplex* W00 = buff_W + (0 )*cs_W + (0 )*rs_W; dcomplex omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); bli_zcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_behind, m_behind, A00, rs_A, cs_A, W00, rs_W, cs_W ); bli_zshiftdiag( BLIS_CONJUGATE, 0, m_behind, m_behind, alpha11, W00, rs_W, cs_W ); bli_ztrsv( BLIS_UPPER_TRIANGULAR, BLIS_CONJ_TRANSPOSE, BLIS_NONUNIT_DIAG, m_behind, W00, rs_W, cs_W, c01, rs_C ); // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_zdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_zcopyconj( alpha11, &omega ); bli_zadd3( alpha11, &omega, &omega ); bli_zinvscals( &omega, gamma11 ); // FLA_Ger( FLA_MINUS_ONE, c01, a12t, C02 ); bli_zger( BLIS_NO_CONJUGATE, BLIS_NO_CONJUGATE, m_behind, m_ahead, buff_m1, c01, rs_C, a12t, cs_A, C02, rs_C, cs_C ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); bli_zaxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_zgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opz_var3 | ( | int | m_AC, |
dcomplex * | buff_sgn, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
dcomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
dcomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_zaxpysv(), bli_zcopymrt(), bli_zdot2s(), bli_zgemv(), bli_zscalm(), bli_zshiftdiag(), bli_ztrsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var3().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_zscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { dcomplex* a01 = buff_A + (i )*cs_A + (0 )*rs_A; dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* A02 = buff_A + (i+1)*cs_A + (0 )*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; dcomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; dcomplex* c01 = buff_C + (i )*cs_C + (0 )*rs_C; dcomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; dcomplex* C02 = buff_C + (i+1)*cs_C + (0 )*rs_C; dcomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; dcomplex* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; dcomplex omega; int m_behind = i; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); bli_zdot2s( BLIS_CONJUGATE, m_behind, buff_m1, a01, rs_A, c01, rs_C, buff_1, gamma11 ); // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_zcopyconj( alpha11, &omega ); bli_zadd3( alpha11, &omega, &omega ); bli_zinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); // FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, C02, a01, FLA_ONE, c12t ); bli_zaxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); bli_zgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, A02, rs_A, cs_A, c01, rs_C, buff_1, c12t, cs_C ); bli_zgemv( BLIS_TRANSPOSE, BLIS_CONJUGATE, m_behind, m_ahead, buff_m1, C02, rs_C, cs_C, a01, rs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_zcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_zshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_ztrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_opz_var4 | ( | int | m_AC, |
dcomplex * | buff_sgn, | ||
dcomplex * | buff_A, | ||
int | rs_A, | ||
int | cs_A, | ||
dcomplex * | buff_W, | ||
int | rs_W, | ||
int | cs_W, | ||
dcomplex * | buff_C, | ||
int | rs_C, | ||
int | cs_C | ||
) |
References bli_zaxpysv(), bli_zcopymrt(), bli_zher2(), bli_zscalm(), bli_zshiftdiag(), bli_ztrsv(), BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, BLIS_NONUNIT_DIAG, BLIS_TRANSPOSE, BLIS_UPPER_TRIANGULAR, FLA_MINUS_ONE, and FLA_ONE.
Referenced by FLA_Lyap_h_opt_var4().
{ dcomplex* buff_1 = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE ); dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE ); int i; bli_zscalm( BLIS_NO_CONJUGATE, m_AC, m_AC, buff_sgn, buff_C, rs_C, cs_C ); for ( i = 0; i < m_AC; ++i ) { dcomplex* alpha11 = buff_A + (i )*cs_A + (i )*rs_A; dcomplex* a12t = buff_A + (i+1)*cs_A + (i )*rs_A; dcomplex* A22 = buff_A + (i+1)*cs_A + (i+1)*rs_A; dcomplex* gamma11 = buff_C + (i )*cs_C + (i )*rs_C; dcomplex* c12t = buff_C + (i+1)*cs_C + (i )*rs_C; dcomplex* C22 = buff_C + (i+1)*cs_C + (i+1)*rs_C; dcomplex* W22 = buff_W + (i+1)*cs_W + (i+1)*rs_W; dcomplex omega; int m_ahead = m_AC - i - 1; /*------------------------------------------------------------*/ // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); // FLA_Mult_add( FLA_ONE, alpha11, omega ); // FLA_Inv_scal( omega, gamma11 ); bli_zcopyconj( alpha11, &omega ); bli_zadd3( alpha11, &omega, &omega ); bli_zinvscals( &omega, gamma11 ); // FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); bli_zaxpysv( m_ahead, buff_m1, gamma11, a12t, cs_A, buff_1, c12t, cs_C ); // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); // FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); bli_zcopymrt( BLIS_UPPER_TRIANGULAR, BLIS_NO_TRANSPOSE, m_ahead, m_ahead, A22, rs_A, cs_A, W22, rs_W, cs_W ); bli_zshiftdiag( BLIS_CONJUGATE, 0, m_ahead, m_ahead, alpha11, W22, rs_W, cs_W ); bli_ztrsv( BLIS_UPPER_TRIANGULAR, BLIS_TRANSPOSE, BLIS_NONUNIT_DIAG, m_ahead, W22, rs_W, cs_W, c12t, cs_C ); // FLA_Her2c( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, C22 ); bli_zher2( BLIS_UPPER_TRIANGULAR, BLIS_CONJUGATE, m_ahead, buff_m1, a12t, cs_A, c12t, cs_C, C22, rs_C, cs_C ); /*------------------------------------------------------------*/ } return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_unb_var1 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Copyrt(), FLA_Copyt(), FLA_Dot2cs(), FLA_Hemv(), FLA_Inv_scal(), FLA_MINUS_ONE, FLA_Mult_add(), FLA_Obj_create(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal(), FLA_Shift_diag(), and FLA_Trsv().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj CTL, CTR, C00, c01, C02, CBL, CBR, c10t, gamma11, c12t, C20, c21, C22; FLA_Obj WTL, WTR, W00, w01, W02, WBL, WBR, w10t, omega11, w12t, W20, w21, W22; FLA_Obj W, omega; FLA_Scal( isgn, C ); FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); FLA_Obj_create( FLA_Obj_datatype( A ), 1, 1, 0, 0, &omega ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); FLA_Part_2x2( W, &WTL, &WTR, &WBL, &WBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ 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( CTL, /**/ CTR, &C00, /**/ &c01, &C02, /* ************* */ /* ************************** */ &c10t, /**/ &gamma11, &c12t, CBL, /**/ CBR, &C20, /**/ &c21, &C22, 1, 1, FLA_BR ); FLA_Repart_2x2_to_3x3( WTL, /**/ WTR, &W00, /**/ &w01, &W02, /* ************* */ /* ************************** */ &w10t, /**/ &omega11, &w12t, WBL, /**/ WBR, &W20, /**/ &w21, &W22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // c01 = c01 - C00 * a01; FLA_Hemv( FLA_UPPER_TRIANGULAR, FLA_MINUS_ONE, C00, a01, FLA_ONE, c01 ); // c01 = inv( triu(A00) + conj(alpha11) * I )' * c01; FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); // gamma11 = gamma11 - a01' * c01 - c01' * a01; FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); // gamma11 = gamma11 / ( alpha11 + alpha11' ); FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); FLA_Mult_add( FLA_ONE, alpha11, omega ); FLA_Inv_scal( omega, gamma11 ); /*------------------------------------------------------------*/ 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( &CTL, /**/ &CTR, C00, c01, /**/ C02, c10t, gamma11, /**/ c12t, /* ************** */ /* ************************ */ &CBL, /**/ &CBR, C20, c21, /**/ C22, FLA_TL ); FLA_Cont_with_3x3_to_2x2( &WTL, /**/ &WTR, W00, w01, /**/ W02, w10t, omega11, /**/ w12t, /* ************** */ /* ************************ */ &WBL, /**/ &WBR, W20, w21, /**/ W22, FLA_TL ); } FLA_Obj_free( &W ); FLA_Obj_free( &omega ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_unb_var2 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Axpys(), FLA_Cont_with_3x3_to_2x2(), FLA_Copyrt(), FLA_Copyt(), FLA_Dot2cs(), FLA_Gemvc(), FLA_Ger(), FLA_Inv_scal(), FLA_MINUS_ONE, FLA_Mult_add(), FLA_Obj_create(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal(), FLA_Shift_diag(), and FLA_Trsv().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj CTL, CTR, C00, c01, C02, CBL, CBR, c10t, gamma11, c12t, C20, c21, C22; FLA_Obj WTL, WTR, W00, w01, W02, WBL, WBR, w10t, omega11, w12t, W20, w21, W22; FLA_Obj W, omega; FLA_Scal( isgn, C ); FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); FLA_Obj_create( FLA_Obj_datatype( A ), 1, 1, 0, 0, &omega ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); FLA_Part_2x2( W, &WTL, &WTR, &WBL, &WBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ 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( CTL, /**/ CTR, &C00, /**/ &c01, &C02, /* ************* */ /* ************************** */ &c10t, /**/ &gamma11, &c12t, CBL, /**/ CBR, &C20, /**/ &c21, &C22, 1, 1, FLA_BR ); FLA_Repart_2x2_to_3x3( WTL, /**/ WTR, &W00, /**/ &w01, &W02, /* ************* */ /* ************************** */ &w10t, /**/ &omega11, &w12t, WBL, /**/ WBR, &W20, /**/ &w21, &W22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // c01 = inv( triu(A00) + conj(alpha11) * I )' * c01; FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A00, W00 ); FLA_Shift_diag( FLA_CONJUGATE, alpha11, W00 ); FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, W00, c01 ); // gamma11 = gamma11 - a01' * c01 - c01' * a01; FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); // gamma11 = gamma11 / ( alpha11 + alpha11' ); FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); FLA_Mult_add( FLA_ONE, alpha11, omega ); FLA_Inv_scal( omega, gamma11 ); // C02 = C02 - c01 * a12t; FLA_Ger( FLA_MINUS_ONE, c01, a12t, C02 ); // c12t = c12t - gamma11 * a12t; // c12t = c12t - c01' * A02; // = c12t - A02^T conj(c01); FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); /*------------------------------------------------------------*/ 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( &CTL, /**/ &CTR, C00, c01, /**/ C02, c10t, gamma11, /**/ c12t, /* ************** */ /* ************************ */ &CBL, /**/ &CBR, C20, c21, /**/ C22, FLA_TL ); FLA_Cont_with_3x3_to_2x2( &WTL, /**/ &WTR, W00, w01, /**/ W02, w10t, omega11, /**/ w12t, /* ************** */ /* ************************ */ &WBL, /**/ &WBR, W20, w21, /**/ W22, FLA_TL ); } FLA_Obj_free( &W ); FLA_Obj_free( &omega ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_unb_var3 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Axpys(), FLA_Cont_with_3x3_to_2x2(), FLA_Copyrt(), FLA_Copyt(), FLA_Dot2cs(), FLA_Gemvc(), FLA_Inv_scal(), FLA_MINUS_ONE, FLA_Mult_add(), FLA_Obj_create(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal(), FLA_Shift_diag(), and FLA_Trsv().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj CTL, CTR, C00, c01, C02, CBL, CBR, c10t, gamma11, c12t, C20, c21, C22; FLA_Obj WTL, WTR, W00, w01, W02, WBL, WBR, w10t, omega11, w12t, W20, w21, W22; FLA_Obj W, omega; FLA_Scal( isgn, C ); FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); FLA_Obj_create( FLA_Obj_datatype( A ), 1, 1, 0, 0, &omega ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); FLA_Part_2x2( W, &WTL, &WTR, &WBL, &WBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ 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( CTL, /**/ CTR, &C00, /**/ &c01, &C02, /* ************* */ /* ************************** */ &c10t, /**/ &gamma11, &c12t, CBL, /**/ CBR, &C20, /**/ &c21, &C22, 1, 1, FLA_BR ); FLA_Repart_2x2_to_3x3( WTL, /**/ WTR, &W00, /**/ &w01, &W02, /* ************* */ /* ************************** */ &w10t, /**/ &omega11, &w12t, WBL, /**/ WBR, &W20, /**/ &w21, &W22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // gamma11 = gamma11 - a01' * c01 - c01' * a01; FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a01, c01, FLA_ONE, gamma11 ); // gamma11 = gamma11 / ( alpha11 + alpha11' ); FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); FLA_Mult_add( FLA_ONE, alpha11, omega ); FLA_Inv_scal( omega, gamma11 ); // c12t = c12t - gamma11 * a12t; // c12t = c12t - c01' * A02 - a01' * C02; // = c12t - A02^T * conj(c01) - C02^T * conj(a01); FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, c01, FLA_ONE, c12t ); FLA_Gemvc( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, C02, a01, FLA_ONE, c12t ); // c12t = inv( triu(A22) + conj(alpha11) * I )' * c12t; FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); /*------------------------------------------------------------*/ 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( &CTL, /**/ &CTR, C00, c01, /**/ C02, c10t, gamma11, /**/ c12t, /* ************** */ /* ************************ */ &CBL, /**/ &CBR, C20, c21, /**/ C22, FLA_TL ); FLA_Cont_with_3x3_to_2x2( &WTL, /**/ &WTR, W00, w01, /**/ W02, w10t, omega11, /**/ w12t, /* ************** */ /* ************************ */ &WBL, /**/ &WBR, W20, w21, /**/ W22, FLA_TL ); } FLA_Obj_free( &W ); FLA_Obj_free( &omega ); return FLA_SUCCESS; }
FLA_Error FLA_Lyap_h_unb_var4 | ( | FLA_Obj | isgn, |
FLA_Obj | A, | ||
FLA_Obj | C | ||
) |
References FLA_Axpys(), FLA_Cont_with_3x3_to_2x2(), FLA_Copyrt(), FLA_Copyt(), FLA_Her2c(), FLA_Inv_scal(), FLA_MINUS_ONE, FLA_Mult_add(), FLA_Obj_create(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal(), FLA_Shift_diag(), and FLA_Trsv().
Referenced by FLA_Lyap_h().
{ FLA_Obj ATL, ATR, A00, a01, A02, ABL, ABR, a10t, alpha11, a12t, A20, a21, A22; FLA_Obj CTL, CTR, C00, c01, C02, CBL, CBR, c10t, gamma11, c12t, C20, c21, C22; FLA_Obj WTL, WTR, W00, w01, W02, WBL, WBR, w10t, omega11, w12t, W20, w21, W22; FLA_Obj W, omega; FLA_Scal( isgn, C ); FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W ); FLA_Obj_create( FLA_Obj_datatype( A ), 1, 1, 0, 0, &omega ); FLA_Part_2x2( A, &ATL, &ATR, &ABL, &ABR, 0, 0, FLA_TL ); FLA_Part_2x2( C, &CTL, &CTR, &CBL, &CBR, 0, 0, FLA_TL ); FLA_Part_2x2( W, &WTL, &WTR, &WBL, &WBR, 0, 0, FLA_TL ); while ( FLA_Obj_length( CBR ) > 0 ){ 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( CTL, /**/ CTR, &C00, /**/ &c01, &C02, /* ************* */ /* ************************** */ &c10t, /**/ &gamma11, &c12t, CBL, /**/ CBR, &C20, /**/ &c21, &C22, 1, 1, FLA_BR ); FLA_Repart_2x2_to_3x3( WTL, /**/ WTR, &W00, /**/ &w01, &W02, /* ************* */ /* ************************** */ &w10t, /**/ &omega11, &w12t, WBL, /**/ WBR, &W20, /**/ &w21, &W22, 1, 1, FLA_BR ); /*------------------------------------------------------------*/ // gamma11 = gamma11 / ( alpha11 + alpha11' ); FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega ); FLA_Mult_add( FLA_ONE, alpha11, omega ); FLA_Inv_scal( omega, gamma11 ); // c12t = c12t - gamma11 * a12t; FLA_Axpys( FLA_MINUS_ONE, gamma11, a12t, FLA_ONE, c12t ); // c12t = inv( triu(A22) + conj(alpha11) * I )^T * c12t; FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, A22, W22 ); FLA_Shift_diag( FLA_CONJUGATE, alpha11, W22 ); FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t ); // C22 = C22 - conj(a12t) * c12t^T - conj(c12t) * a12t^T; FLA_Her2c( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, C22 ); /*------------------------------------------------------------*/ 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( &CTL, /**/ &CTR, C00, c01, /**/ C02, c10t, gamma11, /**/ c12t, /* ************** */ /* ************************ */ &CBL, /**/ &CBR, C20, c21, /**/ C22, FLA_TL ); FLA_Cont_with_3x3_to_2x2( &WTL, /**/ &WTR, W00, w01, /**/ W02, w10t, omega11, /**/ w12t, /* ************** */ /* ************************ */ &WBL, /**/ &WBR, W20, w21, /**/ W22, FLA_TL ); } FLA_Obj_free( &W ); FLA_Obj_free( &omega ); return FLA_SUCCESS; }