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FLA_Eig_gest_il_unb_var4.c File Reference

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Functions

FLA_Error FLA_Eig_gest_il_unb_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_il_unb_var4()

FLA_Error FLA_Eig_gest_il_unb_var4 ( FLA_Obj  A,
FLA_Obj  Y,
FLA_Obj  B 
)

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Ger_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(), and FLA_Scal_external().

Referenced by FLA_Eig_gest_il().

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  // a10t = inv(beta11) * a10t;
68  FLA_Inv_scal_external( beta11, a10t );
69 
70  // A20 = A20 - b21 * a10t;
71  FLA_Ger_external( FLA_MINUS_ONE, b21, a10t, A20 );
72 
73  // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
74  // = inv(beta11) * alpha11 * inv(beta11);
75  FLA_Inv_scal_external( beta11, alpha11 );
76  FLA_Inv_scal_external( beta11, alpha11 );
77 
78  //// y21 = b21 * alpha11;
79  //FLA_Copy_external( b21, y21_l );
80  //FLA_Scal_external( alpha11, y21_l );
81  // psi11 = - 1/2 * alpha11;
82  FLA_Copy_external( alpha11, psi11 );
84 
85  // a21 = a21 * inv(conj(beta11));
86  // = a21 * inv(beta11);
87  FLA_Inv_scal_external( beta11, a21 );
88 
89  //// a21 = a21 - 1/2 * y21;
90  //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
91  // a21 = a21 - 1/2 * alpha11 * b21;
92  FLA_Axpy_external( psi11, b21, a21 );
93 
94  // A22 = A22 - a21 * b21' - b21 * a21';
95  FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
96  FLA_MINUS_ONE, a21, b21, A22 );
97 
98  //// a21 = a21 - 1/2 * y21;
99  //FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
100  // a21 = a21 - 1/2 * alpha11 * b21;
101  FLA_Axpy_external( psi11, b21, a21 );
102 
103  /*------------------------------------------------------------*/
104 
105  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
106  a10t, alpha11, /**/ a12t,
107  /* ************** */ /* ************************ */
108  &ABL, /**/ &ABR, A20, a21, /**/ A22,
109  FLA_TL );
110 
111  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
112  b10t, beta11, /**/ b12t,
113  /* ************** */ /* *********************** */
114  &BBL, /**/ &BBR, B20, b21, /**/ B22,
115  FLA_TL );
116 
117  //FLA_Cont_with_3x1_to_2x1( &yT, y01,
118  // psi11,
119  // /* ** */ /* ***** */
120  // &yB, y21, FLA_TOP );
121  }
122 
123  return FLA_SUCCESS;
124 }
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
FLA_Error FLA_Ger_external(FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj A)
Definition: FLA_Ger_external.c:13
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
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