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FLA_Eig_gest_il_blk_var3.c File Reference

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Functions

FLA_Error FLA_Eig_gest_il_blk_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
 

Function Documentation

◆ FLA_Eig_gest_il_blk_var3()

FLA_Error FLA_Eig_gest_il_blk_var3 ( FLA_Obj A,
FLA_Obj Y,
FLA_Obj B,
fla_eig_gest_t * cntl )
16{
17 FLA_Obj ATL, ATR, A00, A01, A02,
18 ABL, ABR, A10, A11, A12,
19 A20, A21, A22;
20
21 FLA_Obj BTL, BTR, B00, B01, B02,
22 BBL, BBR, B10, B11, B12,
23 B20, B21, B22;
24
25 FLA_Obj YTL, YTR, Y00, Y01, Y02,
26 YBL, YBR, Y10, Y11, Y12,
27 Y20, Y21, Y22;
28
29 dim_t b;
30
31 FLA_Part_2x2( A, &ATL, &ATR,
32 &ABL, &ABR, 0, 0, FLA_TL );
33
34 FLA_Part_2x2( B, &BTL, &BTR,
35 &BBL, &BBR, 0, 0, FLA_TL );
36
37 FLA_Part_2x2( Y, &YTL, &YTR,
38 &YBL, &YBR, 0, 0, FLA_TL );
39
40 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
41
42 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
43
44 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
45 /* ************* */ /* ******************** */
46 &A10, /**/ &A11, &A12,
47 ABL, /**/ ABR, &A20, /**/ &A21, &A22,
48 b, b, FLA_BR );
49
50 FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &B01, &B02,
51 /* ************* */ /* ******************** */
52 &B10, /**/ &B11, &B12,
53 BBL, /**/ BBR, &B20, /**/ &B21, &B22,
54 b, b, FLA_BR );
55
56 FLA_Repart_2x2_to_3x3( YTL, /**/ YTR, &Y00, /**/ &Y01, &Y02,
57 /* ************* */ /* ******************** */
58 &Y10, /**/ &Y11, &Y12,
59 YBL, /**/ YBR, &Y20, /**/ &Y21, &Y22,
60 b, b, FLA_BR );
61
62 /*------------------------------------------------------------*/
63
64 // A10 = A10 - 1/2 * Y10;
65 FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y10, A10,
66 FLA_Cntl_sub_axpy1( cntl ) );
67
68 // A11 = A11 - A10 * B10' - B10 * A10';
69 FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
70 FLA_MINUS_ONE, A10, B10, FLA_ONE, A11,
71 FLA_Cntl_sub_her2k( cntl ) );
72
73 // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' );
74 FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR,
75 A11, Y11, B11,
76 FLA_Cntl_sub_eig_gest( cntl ) );
77
78 // A21 = A21 - A20 * B10';
79 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
80 FLA_MINUS_ONE, A20, B10, FLA_ONE, A21,
81 FLA_Cntl_sub_gemm1( cntl ) );
82
83 // A21 = A21 * inv( tril( B11 )' );
84 FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
85 FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
86 FLA_ONE, B11, A21,
87 FLA_Cntl_sub_trsm1( cntl ) );
88
89 // A10 = A10 - 1/2 * Y10;
90 FLA_Axpy_internal( FLA_MINUS_ONE_HALF, Y10, A10,
91 FLA_Cntl_sub_axpy2( cntl ) );
92
93 // A10 = inv( tril( B11 ) ) * A10;
94 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
95 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
96 FLA_ONE, B11, A10,
97 FLA_Cntl_sub_trsm2( cntl ) );
98
99 // Y20 = Y20 + B21 * A10;
100 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
101 FLA_ONE, B21, A10, FLA_ONE, Y20,
102 FLA_Cntl_sub_gemm2( cntl ) );
103
104 // Y21 = B21 * A11;
105 FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
106 FLA_ONE, A11, B21, FLA_ZERO, Y21,
107 FLA_Cntl_sub_hemm( cntl ) );
108
109 // Y21 = Y21 + B20 * A10';
110 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
111 FLA_ONE, B20, A10, FLA_ONE, Y21,
112 FLA_Cntl_sub_gemm3( cntl ) );
113
114 /*------------------------------------------------------------*/
115
116 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
117 A10, A11, /**/ A12,
118 /* ************** */ /* ****************** */
119 &ABL, /**/ &ABR, A20, A21, /**/ A22,
120 FLA_TL );
121
122 FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, B01, /**/ B02,
123 B10, B11, /**/ B12,
124 /* ************** */ /* ****************** */
125 &BBL, /**/ &BBR, B20, B21, /**/ B22,
126 FLA_TL );
127
128 FLA_Cont_with_3x3_to_2x2( &YTL, /**/ &YTR, Y00, Y01, /**/ Y02,
129 Y10, Y11, /**/ Y12,
130 /* ************** */ /* ****************** */
131 &YBL, /**/ &YBR, Y20, Y21, /**/ Y22,
132 FLA_TL );
133 }
134
135 return FLA_SUCCESS;
136}
FLA_Axpy_internal
FLA_Error FLA_Axpy_internal(FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_axpy_t *cntl)
Definition FLA_Axpy_internal.c:16
FLA_Eig_gest_internal
FLA_Error FLA_Eig_gest_internal(FLA_Inv inv, FLA_Uplo uplo, FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
Definition FLA_Eig_gest_internal.c:17
FLA_Gemm_internal
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_Hemm_internal
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_Her2k_internal
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_Trsm_internal
FLA_Error FLA_Trsm_internal(FLA_Side side, FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
Definition FLA_Trsm_internal.c:16
FLA_MINUS_ONE_HALF
FLA_Obj FLA_MINUS_ONE_HALF
Definition FLA_Init.c:21
FLA_MINUS_ONE
FLA_Obj FLA_MINUS_ONE
Definition FLA_Init.c:22
FLA_ZERO
FLA_Obj FLA_ZERO
Definition FLA_Init.c:20
FLA_ONE
FLA_Obj FLA_ONE
Definition FLA_Init.c:18
FLA_Cont_with_3x3_to_2x2
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_Part_2x2
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_length
dim_t FLA_Obj_length(FLA_Obj obj)
Definition FLA_Query.c:116
FLA_Repart_2x2_to_3x3
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_Determine_blocksize
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition FLA_Blocksize.c:234
dim_t
unsigned long dim_t
Definition FLA_type_defs.h:71
FLA_Obj_view
Definition FLA_type_defs.h:159

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_il().

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