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FLA_Eig_gest_il_blk_var5.c File Reference

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FLA_Error FLA_Eig_gest_il_blk_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B, fla_eig_gest_t *cntl)
 

Function Documentation

◆ FLA_Eig_gest_il_blk_var5()

FLA_Error FLA_Eig_gest_il_blk_var5 ( FLA_Obj  A,
FLA_Obj  Y,
FLA_Obj  B,
fla_eig_gest_t cntl 
)

References FLA_Axpy_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Eig_gest_internal(), FLA_Hemm_internal(), FLA_Her2k_internal(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_internal(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().

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 YT, Y01,
26  YB, Y11,
27  Y21;
28 
29  FLA_Obj Y21_l, Y21_r;
30 
31  dim_t b;
32 
33  FLA_Part_2x2( A, &ATL, &ATR,
34  &ABL, &ABR, 0, 0, FLA_TL );
35 
36  FLA_Part_2x2( B, &BTL, &BTR,
37  &BBL, &BBR, 0, 0, FLA_TL );
38 
39  FLA_Part_2x1( Y, &YT,
40  &YB, 0, FLA_TOP );
41 
42  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
43 
44  b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
45 
46  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
47  /* ************* */ /* ******************** */
48  &A10, /**/ &A11, &A12,
49  ABL, /**/ ABR, &A20, /**/ &A21, &A22,
50  b, b, FLA_BR );
51 
52  FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &B01, &B02,
53  /* ************* */ /* ******************** */
54  &B10, /**/ &B11, &B12,
55  BBL, /**/ BBR, &B20, /**/ &B21, &B22,
56  b, b, FLA_BR );
57 
58  FLA_Repart_2x1_to_3x1( YT, &Y01,
59  /* ** */ /* *** */
60  &Y11,
61  YB, &Y21, b, FLA_BOTTOM );
62 
63  /*------------------------------------------------------------*/
64 
65  FLA_Part_1x2( Y21, &Y21_l, &Y21_r, b, FLA_LEFT );
66 
67  // A11 = inv( tril( B11 ) ) * A11 * inv( tril( B11 )' );
68  FLA_Eig_gest_internal( FLA_INVERSE, FLA_LOWER_TRIANGULAR,
69  A11, Y11, B11,
70  FLA_Cntl_sub_eig_gest( cntl ) );
71 
72  // Y21 = B21 * A11;
73  FLA_Hemm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
74  FLA_ONE, A11, B21, FLA_ZERO, Y21_l,
75  FLA_Cntl_sub_hemm( cntl ) );
76 
77  // A21 = A21 * inv( tril( B11 )' );
78  FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR,
79  FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
80  FLA_ONE, B11, A21,
81  FLA_Cntl_sub_trsm1( cntl ) );
82 
83  // A21 = A21 - 1/2 * Y21;
85  FLA_Cntl_sub_axpy1( cntl ) );
86 
87  // A22 = A22 - A21 * B21' - B21 * A21';
88  FLA_Her2k_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
89  FLA_MINUS_ONE, A21, B21, FLA_ONE, A22,
90  FLA_Cntl_sub_her2k( cntl ) );
91 
92  // A21 = A21 - 1/2 * Y21;
94  FLA_Cntl_sub_axpy2( cntl ) );
95 
96  // A21 = inv( tril( B22 ) ) * A21;
97  FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
98  FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
99  FLA_ONE, B22, A21,
100  FLA_Cntl_sub_trsm2( cntl ) );
101 
102  /*------------------------------------------------------------*/
103 
104  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
105  A10, A11, /**/ A12,
106  /* ************** */ /* ****************** */
107  &ABL, /**/ &ABR, A20, A21, /**/ A22,
108  FLA_TL );
109 
110  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, B01, /**/ B02,
111  B10, B11, /**/ B12,
112  /* ************** */ /* ****************** */
113  &BBL, /**/ &BBR, B20, B21, /**/ B22,
114  FLA_TL );
115 
116  FLA_Cont_with_3x1_to_2x1( &YT, Y01,
117  Y11,
118  /* ** */ /* *** */
119  &YB, Y21, FLA_TOP );
120  }
121 
122  return FLA_SUCCESS;
123 }
FLA_Error FLA_Repart_2x1_to_3x1(FLA_Obj AT, FLA_Obj *A0, FLA_Obj *A1, FLA_Obj AB, FLA_Obj *A2, dim_t mb, FLA_Side side)
Definition: FLA_View.c:226
FLA_Obj FLA_MINUS_ONE_HALF
Definition: FLA_Init.c:21
unsigned long dim_t
Definition: FLA_type_defs.h:71
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_Cont_with_3x1_to_2x1(FLA_Obj *AT, FLA_Obj A0, FLA_Obj A1, FLA_Obj *AB, FLA_Obj A2, FLA_Side side)
Definition: FLA_View.c:428
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_Part_2x1(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t mb, FLA_Side side)
Definition: FLA_View.c:76
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_1x2(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:110
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_Error FLA_Axpy_internal(FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_axpy_t *cntl)
Definition: FLA_Axpy_internal.c:16
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
FLA_Obj FLA_ZERO
Definition: FLA_Init.c:20
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