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FLA_Lyap_n_blk_var2.c File Reference

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Functions

FLA_Error FLA_Lyap_n_blk_var2 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl)
 

Function Documentation

◆ FLA_Lyap_n_blk_var2()

FLA_Error FLA_Lyap_n_blk_var2 ( FLA_Obj  isgn,
FLA_Obj  A,
FLA_Obj  C,
FLA_Obj  scale,
fla_lyap_t cntl 
)
14 {
15  FLA_Obj ATL, ATR, A00, A01, A02,
16  ABL, ABR, A10, A11, A12,
17  A20, A21, A22;
18  FLA_Obj CTL, CTR, C00, C01, C02,
19  CBL, CBR, C10, C11, C12,
20  C20, C21, C22;
21  dim_t b;
22 
23  FLA_Part_2x2( A, &ATL, &ATR,
24  &ABL, &ABR, 0, 0, FLA_BR );
25 
26  FLA_Part_2x2( C, &CTL, &CTR,
27  &CBL, &CBR, 0, 0, FLA_BR );
28 
29  while ( FLA_Obj_length( CTL ) > 0 ){
30 
31  b = FLA_Determine_blocksize( CTL, FLA_TL, FLA_Cntl_blocksize( cntl ) );
32 
33  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &A01, /**/ &A02,
34  &A10, &A11, /**/ &A12,
35  /* ************* */ /* ******************** */
36  ABL, /**/ ABR, &A20, &A21, /**/ &A22,
37  b, b, FLA_TL );
38 
39  FLA_Repart_2x2_to_3x3( CTL, /**/ CTR, &C00, &C01, /**/ &C02,
40  &C10, &C11, /**/ &C12,
41  /* ************* */ /* ******************** */
42  CBL, /**/ CBR, &C20, &C21, /**/ &C22,
43  b, b, FLA_TL );
44 
45  /*------------------------------------------------------------*/
46 
47  // C12 = sylv( A11, A22', C12 );
48  FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
49  FLA_ONE, A11, A22, C12, scale,
50  FLA_Cntl_sub_sylv( cntl ) );
51 
52  // C11 = isgn * C11 - A12 * C12' - C12 * A12';
53  // C11 = lyap_n( A11, C11 );
54  FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE,
55  FLA_MINUS_ONE, A12, C12, isgn, C11,
56  FLA_Cntl_sub_her2k( cntl ) );
57  FLA_Lyap_internal( FLA_NO_TRANSPOSE, FLA_ONE, A11, C11, scale,
58  FLA_Cntl_sub_lyap( cntl ) );
59 
60  // C02 = C02 - A01 * C12;
61  FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
62  FLA_MINUS_ONE, A01, C12, FLA_ONE, C02,
63  FLA_Cntl_sub_gemm1( cntl ) );
64 
65  // C01 = isgn * C01 - A01 * C11;
66  // C01 = C01 - A02 * C12';
67  FLA_Hemm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR,
68  FLA_MINUS_ONE, C11, A01, isgn, C01,
69  FLA_Cntl_sub_hemm( cntl ) );
70  FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
71  FLA_MINUS_ONE, A02, C12, FLA_ONE, C01,
72  FLA_Cntl_sub_gemm2( cntl ) );
73 
74  /*------------------------------------------------------------*/
75 
76  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ A01, A02,
77  /* ************** */ /* ****************** */
78  A10, /**/ A11, A12,
79  &ABL, /**/ &ABR, A20, /**/ A21, A22,
80  FLA_BR );
81 
82  FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR, C00, /**/ C01, C02,
83  /* ************** */ /* ****************** */
84  C10, /**/ C11, C12,
85  &CBL, /**/ &CBR, C20, /**/ C21, C22,
86  FLA_BR );
87  }
88 
89  return FLA_SUCCESS;
90 }
FLA_Error FLA_Gemm_internal(FLA_Trans transa, FLA_Trans transb, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_gemm_t *cntl)
Definition: FLA_Gemm_internal.c:16
FLA_Error FLA_Hemm_internal(FLA_Side side, FLA_Uplo uplo, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_hemm_t *cntl)
Definition: FLA_Hemm_internal.c:16
FLA_Error FLA_Her2k_internal(FLA_Uplo uplo, FLA_Trans trans, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_her2k_t *cntl)
Definition: FLA_Her2k_internal.c:16
FLA_Error FLA_Lyap_internal(FLA_Trans trans, FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl)
Definition: FLA_Lyap_internal.c:16
FLA_Error FLA_Sylv_internal(FLA_Trans transa, FLA_Trans transb, FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
Definition: FLA_Sylv_internal.c:16
FLA_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
FLA_Obj FLA_ONE
Definition: FLA_Init.c:18
FLA_Error FLA_Cont_with_3x3_to_2x2(FLA_Obj *ATL, FLA_Obj *ATR, FLA_Obj A00, FLA_Obj A01, FLA_Obj A02, FLA_Obj A10, FLA_Obj A11, FLA_Obj A12, FLA_Obj *ABL, FLA_Obj *ABR, FLA_Obj A20, FLA_Obj A21, FLA_Obj A22, FLA_Quadrant quadrant)
Definition: FLA_View.c:304
FLA_Error FLA_Part_2x2(FLA_Obj A, FLA_Obj *A11, FLA_Obj *A12, FLA_Obj *A21, FLA_Obj *A22, dim_t mb, dim_t nb, FLA_Quadrant quadrant)
Definition: FLA_View.c:17
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
FLA_Error FLA_Repart_2x2_to_3x3(FLA_Obj ATL, FLA_Obj ATR, FLA_Obj *A00, FLA_Obj *A01, FLA_Obj *A02, FLA_Obj *A10, FLA_Obj *A11, FLA_Obj *A12, FLA_Obj ABL, FLA_Obj ABR, FLA_Obj *A20, FLA_Obj *A21, FLA_Obj *A22, dim_t mb, dim_t nb, FLA_Quadrant quadrant)
Definition: FLA_View.c:142
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition: FLA_Blocksize.c:234
unsigned long dim_t
Definition: FLA_type_defs.h:71
Definition: FLA_type_defs.h:159

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_n().