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FLA_Eig_gest_il_unb_var2.c File Reference

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Functions

FLA_Error FLA_Eig_gest_il_unb_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_il_unb_var2()

FLA_Error FLA_Eig_gest_il_unb_var2 ( 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 yL, yR, y10t, psi11, y12t;
24 
25  FLA_Obj y10t_t,
26  y10t_b;
27 
28  FLA_Part_2x2( A, &ATL, &ATR,
29  &ABL, &ABR, 0, 0, FLA_TL );
30 
31  FLA_Part_2x2( B, &BTL, &BTR,
32  &BBL, &BBR, 0, 0, FLA_TL );
33 
34  FLA_Part_1x2( Y, &yL, &yR, 0, FLA_LEFT );
35 
36  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
37 
38  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
39  /* ************* */ /* ************************** */
40  &a10t, /**/ &alpha11, &a12t,
41  ABL, /**/ ABR, &A20, /**/ &a21, &A22,
42  1, 1, FLA_BR );
43 
44  FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02,
45  /* ************* */ /* ************************* */
46  &b10t, /**/ &beta11, &b12t,
47  BBL, /**/ BBR, &B20, /**/ &b21, &B22,
48  1, 1, FLA_BR );
49 
50  FLA_Repart_1x2_to_1x3( yL, /**/ yR, &y10t, /**/ &psi11, &y12t,
51  1, FLA_RIGHT );
52 
53  /*------------------------------------------------------------*/
54 
55  FLA_Part_2x1( y10t, &y10t_t,
56  &y10t_b, 1, FLA_TOP );
57 
58  // y10t = 1/2 * b10t * A00;
59  // y10t^T = 1/2 * A00^T * b10t^T;
60  // = 1/2 * conj(A00) * b10t^T;
61  FLA_Hemvc_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
62  FLA_ONE_HALF, A00, b10t, FLA_ZERO, y10t_t );
63 
64  // a10t = a10t - y10t;
65  FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
66 
67  // alpha11 = alpha11 - a10t * b10t' - b10t * a10t';
68  FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, b10t, FLA_ONE, alpha11 );
69 
70  // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
71  // = inv(beta11) * alpha11 * inv(beta11);
72  FLA_Inv_scal_external( beta11, alpha11 );
73  FLA_Inv_scal_external( beta11, alpha11 );
74 
75  // a21 = a21 - A20 * b10t';
76  FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE,
77  FLA_MINUS_ONE, A20, b10t, FLA_ONE, a21 );
78 
79  // a21 = a21 * inv(conj(beta11));
80  // = a21 * inv(beta11);
81  FLA_Inv_scal_external( beta11, a21 );
82 
83  // a10t = a10t - y10t;
84  FLA_Axpy_external( FLA_MINUS_ONE, y10t_t, a10t );
85 
86  // a10t = inv(beta11) * a10t;
87  FLA_Inv_scal_external( beta11, a10t );
88 
89  /*------------------------------------------------------------*/
90 
91  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
92  a10t, alpha11, /**/ a12t,
93  /* ************** */ /* ************************ */
94  &ABL, /**/ &ABR, A20, a21, /**/ A22,
95  FLA_TL );
96 
97  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
98  b10t, beta11, /**/ b12t,
99  /* ************** */ /* *********************** */
100  &BBL, /**/ &BBR, B20, b21, /**/ B22,
101  FLA_TL );
102 
103  FLA_Cont_with_1x3_to_1x2( &yL, /**/ &yR, y10t, psi11, /**/ y12t,
104  FLA_LEFT );
105  }
106 
107  return FLA_SUCCESS;
108 }
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_Error FLA_Dot2cs_external(FLA_Conj conj, FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj beta, FLA_Obj rho)
Definition: FLA_Dot2cs_external.c:13
FLA_Error FLA_Gemvc_external(FLA_Trans transa, FLA_Conj conjx, FLA_Obj alpha, FLA_Obj A, FLA_Obj x, FLA_Obj beta, FLA_Obj y)
Definition: FLA_Gemvc_external.c:13
FLA_Error FLA_Hemvc_external(FLA_Uplo uplo, FLA_Conj conja, FLA_Obj alpha, FLA_Obj A, FLA_Obj x, FLA_Obj beta, FLA_Obj y)
Definition: FLA_Hemvc_external.c:13
FLA_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
FLA_Obj FLA_ONE_HALF
Definition: FLA_Init.c:19
FLA_Obj FLA_ZERO
Definition: FLA_Init.c:20
FLA_Obj FLA_ONE
Definition: FLA_Init.c:18
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
FLA_Error FLA_Cont_with_1x3_to_1x2(FLA_Obj *AL, FLA_Obj *AR, FLA_Obj A0, FLA_Obj A1, FLA_Obj A2, FLA_Side side)
Definition: FLA_View.c:475
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_Part_2x1(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t mb, FLA_Side side)
Definition: FLA_View.c:76
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
FLA_Error FLA_Repart_1x2_to_1x3(FLA_Obj AL, FLA_Obj AR, FLA_Obj *A0, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:267
Definition: FLA_type_defs.h:159

References FLA_Axpy_external(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Gemvc_external(), FLA_Hemvc_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_ONE_HALF, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_ZERO.

Referenced by FLA_Eig_gest_il().