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FLA_Lyap_h_blk_var4.c File Reference

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Functions

FLA_Error FLA_Lyap_h_blk_var4 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale, fla_lyap_t *cntl)
 

Function Documentation

◆ FLA_Lyap_h_blk_var4()

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().

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  // C = isgn * C;
24  FLA_Scal_internal( isgn, C,
25  FLA_Cntl_sub_scal( cntl ) );
26 
27  FLA_Part_2x2( A, &ATL, &ATR,
28  &ABL, &ABR, 0, 0, FLA_TL );
29 
30  FLA_Part_2x2( C, &CTL, &CTR,
31  &CBL, &CBR, 0, 0, FLA_TL );
32 
33  while ( FLA_Obj_length( CBR ) > 0 ){
34 
35  b = FLA_Determine_blocksize( CBR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
36 
37  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
38  /* ************* */ /* ******************** */
39  &A10, /**/ &A11, &A12,
40  ABL, /**/ ABR, &A20, /**/ &A21, &A22,
41  b, b, FLA_BR );
42 
43  FLA_Repart_2x2_to_3x3( CTL, /**/ CTR, &C00, /**/ &C01, &C02,
44  /* ************* */ /* ******************** */
45  &C10, /**/ &C11, &C12,
46  CBL, /**/ CBR, &C20, /**/ &C21, &C22,
47  b, b, FLA_BR );
48 
49  /*------------------------------------------------------------*/
50 
51  // C11 = lyap_h( A11, C11 );
52  FLA_Lyap_internal( FLA_CONJ_TRANSPOSE, FLA_ONE, A11, C11, scale,
53  FLA_Cntl_sub_lyap( cntl ) );
54 
55  // C12 = C12 - C11 * A12;
56  // C12 = sylv( A11', A22, C12 );
57  FLA_Hemm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
58  FLA_MINUS_ONE, C11, A12, FLA_ONE, C12,
59  FLA_Cntl_sub_hemm( cntl ) );
60  FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
61  FLA_ONE, A11, A22, C12, scale,
62  FLA_Cntl_sub_sylv( cntl ) );
63 
64  // C22 = C22 - A12' * C12 - C12' * A12;
65  FLA_Her2k_internal( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE,
66  FLA_MINUS_ONE, A12, C12, FLA_ONE, C22,
67  FLA_Cntl_sub_her2k( cntl ) );
68 
69  /*------------------------------------------------------------*/
70 
71  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
72  A10, A11, /**/ A12,
73  /* ************** */ /* ****************** */
74  &ABL, /**/ &ABR, A20, A21, /**/ A22,
75  FLA_TL );
76 
77  FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR, C00, C01, /**/ C02,
78  C10, C11, /**/ C12,
79  /* ************** */ /* ****************** */
80  &CBL, /**/ &CBR, C20, C21, /**/ C22,
81  FLA_TL );
82  }
83 
84  return FLA_SUCCESS;
85 }
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
FLA_Error FLA_Scal_internal(FLA_Obj alpha, FLA_Obj A, fla_scal_t *cntl)
Definition: FLA_Scal_internal.c:16
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116