libflame  revision_anchor
Functions
FLA_Eig_gest_nu_unb_var1.c File Reference

(r)

Functions

FLA_Error FLA_Eig_gest_nu_unb_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_nu_unb_var1()

FLA_Error FLA_Eig_gest_nu_unb_var1 ( 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 y12t_t,
26  y12t_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( y12t, &y12t_t,
56  &y12t_b, 1, FLA_TOP );
57 
58  // y12t = b12t * A22;
59  // y12t^T = A22^T * b12t^T;
60  FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
61  FLA_ONE, A22, b12t, FLA_ZERO, y12t_t );
62 
63  // a12t = beta11 * a12t;
64  FLA_Scal_external( beta11, a12t );
65 
66  // a12t = a12t + 1/2 * y12t;
67  FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
68 
69  // alpha11 = conj(beta11) * alpha11 * beta11;
70  // = beta11 * alpha11 * beta11;
71  FLA_Scal_external( beta11, alpha11 );
72  FLA_Scal_external( beta11, alpha11 );
73 
74  // alpha11 = alpha11 + a12t * b12t' + b12t * a12t';
75  FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a12t, b12t, FLA_ONE, alpha11 );
76 
77  // a12t = a12t + 1/2 * y12t;
78  FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
79 
80  // a12t = a12t * tril( B22 )';
81  // a12t^T = conj(triu( B22 )) * a12t^T;
82  FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
83  B22, a12t );
84 
85  /*------------------------------------------------------------*/
86 
87  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
88  a10t, alpha11, /**/ a12t,
89  /* ************** */ /* ************************ */
90  &ABL, /**/ &ABR, A20, a21, /**/ A22,
91  FLA_TL );
92 
93  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
94  b10t, beta11, /**/ b12t,
95  /* ************** */ /* *********************** */
96  &BBL, /**/ &BBR, B20, b21, /**/ B22,
97  FLA_TL );
98 
99  FLA_Cont_with_1x3_to_1x2( &yL, /**/ &yR, y10t, psi11, /**/ y12t,
100  FLA_LEFT );
101  }
102 
103  return FLA_SUCCESS;
104 }
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_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_Trmv_external(FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj A, FLA_Obj x)
Definition: FLA_Trmv_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_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_Hemvc_external(), 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(), FLA_Scal_external(), FLA_Trmv_external(), and FLA_ZERO.

Referenced by FLA_Eig_gest_nu().