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FLA_Eig_gest_iu_unb_var3.c File Reference

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FLA_Error FLA_Eig_gest_iu_unb_var3 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_iu_unb_var3()

FLA_Error FLA_Eig_gest_iu_unb_var3 ( 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 YTL, YTR, Y00, y01, Y02,
24  YBL, YBR, y10t, psi11, y12t,
25  Y20, y21, Y22;
26 
27  FLA_Part_2x2( A, &ATL, &ATR,
28  &ABL, &ABR, 0, 0, FLA_TL );
29 
30  FLA_Part_2x2( B, &BTL, &BTR,
31  &BBL, &BBR, 0, 0, FLA_TL );
32 
33  FLA_Part_2x2( Y, &YTL, &YTR,
34  &YBL, &YBR, 0, 0, FLA_TL );
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_2x2_to_3x3( YTL, /**/ YTR, &Y00, /**/ &y01, &Y02,
51  /* ************* */ /* ************************ */
52  &y10t, /**/ &psi11, &y12t,
53  YBL, /**/ YBR, &Y20, /**/ &y21, &Y22,
54  1, 1, FLA_BR );
55 
56  /*------------------------------------------------------------*/
57 
58  // a01 = a01 - 1/2 * y01;
60 
61  // alpha11 = alpha11 - a01' * b01 - b01' * a01;
62  FLA_Dot2cs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, b01, FLA_ONE, alpha11 );
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  // a12t = a12t - b01' * A02;
70  // a12t^T = a12t^T - A02^T * conj(b01);
71  FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
72  FLA_MINUS_ONE, A02, b01, FLA_ONE, a12t );
73 
74  // a12t = inv(conj(beta11)) * a12t;
75  // a12t = inv(beta11) * a12t;
76  FLA_Inv_scal_external( beta11, a12t );
77 
78  // a01 = a01 - 1/2 * y01;
80 
81  // a01 = a01 * inv(beta11);
82  FLA_Inv_scal_external( beta11, a01 );
83 
84  // Y02 = Y02 + a01 * b12t;
85  FLA_Ger_external( FLA_ONE, a01, b12t, Y02 );
86 
87  // y12t = alpha11 * b12t;
88  FLA_Copy_external( b12t, y12t );
89  FLA_Scal_external( alpha11, y12t );
90 
91  // y12t = y12t + a01' * B02;
92  // y12t^T = y12t^T + B02^T * conj(a01);
93  FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
94  FLA_ONE, B02, a01, FLA_ONE, y12t );
95 
96  /*------------------------------------------------------------*/
97 
98  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
99  a10t, alpha11, /**/ a12t,
100  /* ************** */ /* ************************ */
101  &ABL, /**/ &ABR, A20, a21, /**/ A22,
102  FLA_TL );
103 
104  FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
105  b10t, beta11, /**/ b12t,
106  /* ************** */ /* *********************** */
107  &BBL, /**/ &BBR, B20, b21, /**/ B22,
108  FLA_TL );
109 
110  FLA_Cont_with_3x3_to_2x2( &YTL, /**/ &YTR, Y00, y01, /**/ Y02,
111  y10t, psi11, /**/ y12t,
112  /* ************** */ /* ********************** */
113  &YBL, /**/ &YBR, Y20, y21, /**/ Y22,
114  FLA_TL );
115  }
116 
117  return FLA_SUCCESS;
118 }
FLA_Error FLA_Inv_scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Inv_scal_external.c:13
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_Copy_external(FLA_Obj A, FLA_Obj B)
Definition: FLA_Copy_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_Ger_external(FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj A)
Definition: FLA_Ger_external.c:13
FLA_Obj FLA_MINUS_ONE_HALF
Definition: FLA_Init.c:21
FLA_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
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
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
Definition: FLA_type_defs.h:159

References FLA_Axpy_external(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Dot2cs_external(), FLA_Gemvc_external(), FLA_Ger_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_MINUS_ONE_HALF, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Eig_gest_iu().