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FLA_Eig_gest_il_unb_var5.c File Reference

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Functions

FLA_Error FLA_Eig_gest_il_unb_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_il_unb_var5()

FLA_Error FLA_Eig_gest_il_unb_var5 ( FLA_Obj  A,
FLA_Obj  Y,
FLA_Obj  B 
)
14 {
15  FLA_Obj ATL, ATR, A00, a01, A02,
16  ABL, ABR, a10t, alpha11, a12t,
17  A20, a21, A22;
18 
19  FLA_Obj BTL, BTR, B00, b01, B02,
20  BBL, BBR, b10t, beta11, b12t,
21  B20, b21, B22;
22 
23  //FLA_Obj yT, y01,
24  // yB, psi11,
25  // y21;
26 
27  //FLA_Obj y21_l, y21_r;
28 
29  FLA_Obj psi11, y12t,
30  y21, Y22;
31 
32  FLA_Part_2x2( A, &ATL, &ATR,
33  &ABL, &ABR, 0, 0, FLA_TL );
34 
35  FLA_Part_2x2( B, &BTL, &BTR,
36  &BBL, &BBR, 0, 0, FLA_TL );
37 
38  //FLA_Part_2x1( Y, &yT,
39  // &yB, 0, FLA_TOP );
40 
41  FLA_Part_2x2( Y, &psi11, &y12t,
42  &y21, &Y22, 1, 1, FLA_TL );
43 
44  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
45 
46  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
47  /* ************* */ /* ************************** */
48  &a10t, /**/ &alpha11, &a12t,
49  ABL, /**/ ABR, &A20, /**/ &a21, &A22,
50  1, 1, FLA_BR );
51 
52  FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02,
53  /* ************* */ /* ************************* */
54  &b10t, /**/ &beta11, &b12t,
55  BBL, /**/ BBR, &B20, /**/ &b21, &B22,
56  1, 1, FLA_BR );
57 
58  //FLA_Repart_2x1_to_3x1( yT, &y01,
59  // /* ** */ /* ***** */
60  // &psi11,
61  // yB, &y21, 1, FLA_BOTTOM );
62 
63  /*------------------------------------------------------------*/
64 
65  //FLA_Part_1x2( y21, &y21_l, &y21_r, 1, FLA_LEFT );
66 
67  // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
68  // = inv(beta11) * alpha11 * inv(beta11);
69  FLA_Inv_scal_external( beta11, alpha11 );
70  FLA_Inv_scal_external( beta11, alpha11 );
71 
72  //// y21 = b21 * alpha11;
73  //FLA_Copy_external( b21, y21_l );
74  //FLA_Scal_external( alpha11, y21_l );
75  // psi11 = - 1/2 * alpha11;
76  FLA_Copy_external( alpha11, psi11 );
78 
79  // a21 = a21 * inv(conj(beta11));
80  // = a21 * inv(beta11);
81  FLA_Inv_scal_external( beta11, a21 );
82 
83  //// a21 = a21 - 1/2 * y21;
84  //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
85  // a21 = a21 - 1/2 * alpha11 * b21;
86  FLA_Axpy_external( psi11, b21, a21 );
87 
88  // A22 = A22 - a21 * b21' - b21 * a21';
89  FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
90  FLA_MINUS_ONE, a21, b21, A22 );
91 
92  //// a21 = a21 - 1/2 * y21;
93  //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
94  // a21 = a21 - 1/2 * alpha11 * b21;
95  FLA_Axpy_external( psi11, b21, a21 );
96 
97  // a21 = inv( tril( B22 ) ) * a21;
98  FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
99  B22, a21 );
100 
101  /*------------------------------------------------------------*/
102 
103  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
104  a10t, alpha11, /**/ a12t,
105  /* ************** */ /* ************************ */
106  &ABL, /**/ &ABR, A20, a21, /**/ A22,
107  FLA_TL );
108 
109  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
110  b10t, beta11, /**/ b12t,
111  /* ************** */ /* *********************** */
112  &BBL, /**/ &BBR, B20, b21, /**/ B22,
113  FLA_TL );
114 
115  //FLA_Cont_with_3x1_to_2x1( &yT, y01,
116  // psi11,
117  // /* ** */ /* ***** */
118  // &yB, y21, FLA_TOP );
119  }
120 
121  return FLA_SUCCESS;
122 }
FLA_Error FLA_Inv_scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Inv_scal_external.c:13
FLA_Error FLA_Scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Scal_external.c:13
FLA_Error FLA_Axpy_external(FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
Definition: FLA_Axpy_external.c:13
FLA_Error FLA_Copy_external(FLA_Obj A, FLA_Obj B)
Definition: FLA_Copy_external.c:13
FLA_Error FLA_Trsv_external(FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj A, FLA_Obj x)
Definition: FLA_Trsv_external.c:13
FLA_Error FLA_Her2c_external(FLA_Uplo uplo, FLA_Conj conj, FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj A)
Definition: FLA_Her2c_external.c:13
FLA_Obj FLA_MINUS_ONE_HALF
Definition: FLA_Init.c:21
FLA_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
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
Definition: FLA_type_defs.h:159

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Her2c_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_Trsv_external().

Referenced by FLA_Eig_gest_il().