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FLA_Eig_gest_iu_unb_var5.c File Reference

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Functions

FLA_Error FLA_Eig_gest_iu_unb_var5 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_iu_unb_var5()

FLA_Error FLA_Eig_gest_iu_unb_var5 ( FLA_Obj  A,
FLA_Obj  Y,
FLA_Obj  B 
)

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_iu().

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 yL, yR, y10t, psi11, y12t;
24 
25  //FLA_Obj y12t_t,
26  // y12t_b;
27 
28  FLA_Obj psi11, y12t,
29  y21, Y22;
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_1x2( Y, &yL, &yR, 0, FLA_LEFT );
38 
39  FLA_Part_2x2( Y, &psi11, &y12t,
40  &y21, &Y22, 1, 1, FLA_TL );
41 
42  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
43 
44  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
45  /* ************* */ /* ************************** */
46  &a10t, /**/ &alpha11, &a12t,
47  ABL, /**/ ABR, &A20, /**/ &a21, &A22,
48  1, 1, FLA_BR );
49 
50  FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02,
51  /* ************* */ /* ************************* */
52  &b10t, /**/ &beta11, &b12t,
53  BBL, /**/ BBR, &B20, /**/ &b21, &B22,
54  1, 1, FLA_BR );
55 
56  //FLA_Repart_1x2_to_1x3( yL, /**/ yR, &y10t, /**/ &psi11, &y12t,
57  // 1, FLA_RIGHT );
58 
59  /*------------------------------------------------------------*/
60 
61  //FLA_Part_2x1( y12t, &y12t_t,
62  // &y12t_b, 1, FLA_TOP );
63 
64  // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
65  // = inv(beta11) * alpha11 * inv(beta11);
66  FLA_Inv_scal_external( beta11, alpha11 );
67  FLA_Inv_scal_external( beta11, alpha11 );
68 
69  //// y12t = alpha11 * b12t;
70  //FLA_Copy_external( b12t, y12t_t );
71  //FLA_Scal_external( alpha11, y12t_t );
72  // psi11 = - 1/2 * alpha11;
73  FLA_Copy_external( alpha11, psi11 );
75 
76  // a12t = inv(conj(beta11)) * a12t;
77  // = inv(beta11) * a12t;
78  FLA_Inv_scal_external( beta11, a12t );
79 
80  //// a12t = a12t - 1/2 * y12t;
81  //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y12t_t, a12t );
82  // a12t = a12t - 1/2 * alpha11 * b12t;
83  FLA_Axpy_external( psi11, b12t, a12t );
84 
85  // A22 = A22 - a12t' * b12t - b12t' * a12t;
86  FLA_Her2c_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
87  FLA_MINUS_ONE, a12t, b12t, A22 );
88 
89  //// a12t = a12t - 1/2 * y12t;
90  //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y12t_t, a12t );
91  // a12t = a12t - 1/2 * alpha11 * b12t;
92  FLA_Axpy_external( psi11, b12t, a12t );
93 
94  // a12t = a12t * inv( tril( B22 ) );
95  // a12t^T = inv( triu( B22 )^T ) * a12t^T;
96  FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG,
97  B22, a12t );
98 
99  /*------------------------------------------------------------*/
100 
101  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
102  a10t, alpha11, /**/ a12t,
103  /* ************** */ /* ************************ */
104  &ABL, /**/ &ABR, A20, a21, /**/ A22,
105  FLA_TL );
106 
107  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
108  b10t, beta11, /**/ b12t,
109  /* ************** */ /* *********************** */
110  &BBL, /**/ &BBR, B20, b21, /**/ B22,
111  FLA_TL );
112 
113  //FLA_Cont_with_1x3_to_1x2( &yL, /**/ &yR, y10t, psi11, /**/ y12t,
114  // FLA_LEFT );
115  }
116 
117  return FLA_SUCCESS;
118 }
FLA_Obj FLA_MINUS_ONE_HALF
Definition: FLA_Init.c:21
FLA_Error FLA_Inv_scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Inv_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_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
FLA_Error FLA_Scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Scal_external.c:13
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_Error FLA_Copy_external(FLA_Obj A, FLA_Obj B)
Definition: FLA_Copy_external.c:13
Definition: FLA_type_defs.h:158
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
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