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FLA_Lyap_h_blk_var3.c File Reference

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Functions

FLA_Error FLA_Lyap_h_blk_var3 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl)
 

Function Documentation

◆ FLA_Lyap_h_blk_var3()

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().

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_TL );
25 
26  FLA_Part_2x2( C, &CTL, &CTR,
27  &CBL, &CBR, 0, 0, FLA_TL );
28 
29  while ( FLA_Obj_length( CBR ) > 0 ){
30 
31  b = FLA_Determine_blocksize( CBR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
32 
33  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
34  /* ************* */ /* ******************** */
35  &A10, /**/ &A11, &A12,
36  ABL, /**/ ABR, &A20, /**/ &A21, &A22,
37  b, b, FLA_BR );
38 
39  FLA_Repart_2x2_to_3x3( CTL, /**/ CTR, &C00, /**/ &C01, &C02,
40  /* ************* */ /* ******************** */
41  &C10, /**/ &C11, &C12,
42  CBL, /**/ CBR, &C20, /**/ &C21, &C22,
43  b, b, FLA_BR );
44 
45  /*------------------------------------------------------------*/
46 
47  // C11 = isgn * C11 - A01' * C01 - C01' * A01;
48  // C11 = lyap_h( A11, C11 );
49  FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
50  FLA_MINUS_ONE, A01, C01, isgn, C11,
51  FLA_Cntl_sub_her2k( cntl ) );
52  FLA_Lyap_internal( FLA_CONJ_TRANSPOSE, FLA_ONE, A11, C11, scale,
53  FLA_Cntl_sub_lyap( cntl ) );
54 
55  // C12 = isgn * C12 - A01' * C02 - C01' * A02;
56  FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
57  FLA_MINUS_ONE, A01, C02, isgn, C12,
58  FLA_Cntl_sub_gemm1( cntl ) );
59  FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
60  FLA_MINUS_ONE, C01, A02, FLA_ONE, C12,
61  FLA_Cntl_sub_gemm2( cntl ) );
62 
63  // C12 = C12 - C11 * A12;
64  // C12 = sylv( A11', A22, C12 );
65  FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
66  FLA_MINUS_ONE, C11, A12, FLA_ONE, C12,
67  FLA_Cntl_sub_hemm( cntl ) );
68  FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
69  FLA_ONE, A11, A22, C12, scale,
70  FLA_Cntl_sub_sylv( cntl ) );
71 
72  /*------------------------------------------------------------*/
73 
74  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
75  A10, A11, /**/ A12,
76  /* ************** */ /* ****************** */
77  &ABL, /**/ &ABR, A20, A21, /**/ A22,
78  FLA_TL );
79 
80  FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR, C00, C01, /**/ C02,
81  C10, C11, /**/ C12,
82  /* ************** */ /* ****************** */
83  &CBL, /**/ &CBR, C20, C21, /**/ C22,
84  FLA_TL );
85  }
86 
87  return FLA_SUCCESS;
88 }
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
unsigned long dim_t
Definition: FLA_type_defs.h:71
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_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_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition: FLA_Blocksize.c:234
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
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
FLA_Obj FLA_ONE
Definition: FLA_Init.c:18
Definition: FLA_type_defs.h:158
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_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_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
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116