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FLA_Eig_gest_iu_unb_var2.c File Reference

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FLA_Error FLA_Eig_gest_iu_unb_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_iu_unb_var2()

FLA_Error FLA_Eig_gest_iu_unb_var2 ( FLA_Obj  A,
FLA_Obj  Y,
FLA_Obj  B 
)

References FLA_Axpy_external(), FLA_Cont_with_3x1_to_2x1(), 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_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_ZERO.

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 yT, y01,
24  yB, psi11,
25  y21;
26 
27  FLA_Obj y01_l, y01_r;
28 
29  FLA_Part_2x2( A, &ATL, &ATR,
30  &ABL, &ABR, 0, 0, FLA_TL );
31 
32  FLA_Part_2x2( B, &BTL, &BTR,
33  &BBL, &BBR, 0, 0, FLA_TL );
34 
35  FLA_Part_2x1( Y, &yT,
36  &yB, 0, FLA_TOP );
37 
38  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
39 
40  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
41  /* ************* */ /* ************************** */
42  &a10t, /**/ &alpha11, &a12t,
43  ABL, /**/ ABR, &A20, /**/ &a21, &A22,
44  1, 1, FLA_BR );
45 
46  FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02,
47  /* ************* */ /* ************************* */
48  &b10t, /**/ &beta11, &b12t,
49  BBL, /**/ BBR, &B20, /**/ &b21, &B22,
50  1, 1, FLA_BR );
51 
52  FLA_Repart_2x1_to_3x1( yT, &y01,
53  /* ** */ /* ***** */
54  &psi11,
55  yB, &y21, 1, FLA_BOTTOM );
56 
57  /*------------------------------------------------------------*/
58 
59  FLA_Part_1x2( y01, &y01_l, &y01_r, 1, FLA_LEFT );
60 
61  // y01 = 1/2 * A00 * b01;
62  FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_NO_CONJUGATE,
63  FLA_ONE_HALF, A00, b01, FLA_ZERO, y01_l );
64 
65  // a01 = a01 - y01;
66  FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
67 
68  // alpha11 = alpha11 - a01' * b01 - b01' * a01;
69  FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
70 
71  // alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
72  // = inv(beta11) * alpha11 * inv(beta11);
73  FLA_Inv_scal_external( beta11, alpha11 );
74  FLA_Inv_scal_external( beta11, alpha11 );
75 
76  // a12t = a12t - b01' * A02;
77  // a12t^T = a12t^T - A02^T * conj(b01);
78  FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
79  FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
80 
81  // a12t = inv(conj(beta11)) * a12t;
82  // a12t = inv(beta11) * a12t;
83  FLA_Inv_scal_external( beta11, a12t );
84 
85  // a01 = a01 - y01;
86  FLA_Axpy_external( FLA_MINUS_ONE, y01_l, a01 );
87 
88  // a01 = a01 * inv(beta11);
89  FLA_Inv_scal_external( beta11, a01 );
90 
91  /*------------------------------------------------------------*/
92 
93  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
94  a10t, alpha11, /**/ a12t,
95  /* ************** */ /* ************************ */
96  &ABL, /**/ &ABR, A20, a21, /**/ A22,
97  FLA_TL );
98 
99  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
100  b10t, beta11, /**/ b12t,
101  /* ************** */ /* *********************** */
102  &BBL, /**/ &BBR, B20, b21, /**/ B22,
103  FLA_TL );
104 
105  FLA_Cont_with_3x1_to_2x1( &yT, y01,
106  psi11,
107  /* ** */ /* ***** */
108  &yB, y21, FLA_TOP );
109  }
110 
111  return FLA_SUCCESS;
112 }
FLA_Error FLA_Repart_2x1_to_3x1(FLA_Obj AT, FLA_Obj *A0, FLA_Obj *A1, FLA_Obj AB, FLA_Obj *A2, dim_t mb, FLA_Side side)
Definition: FLA_View.c:226
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_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_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_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_Cont_with_3x1_to_2x1(FLA_Obj *AT, FLA_Obj A0, FLA_Obj A1, FLA_Obj *AB, FLA_Obj A2, FLA_Side side)
Definition: FLA_View.c:428
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_Obj FLA_ONE
Definition: FLA_Init.c:18
Definition: FLA_type_defs.h:158
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_Part_2x1(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t mb, FLA_Side side)
Definition: FLA_View.c:76
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_1x2(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:110
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
FLA_Obj FLA_ZERO
Definition: FLA_Init.c:20