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FLA_Eig_gest_nl_unb_var2.c File Reference

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FLA_Error FLA_Eig_gest_nl_unb_var2 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
 

Function Documentation

◆ FLA_Eig_gest_nl_unb_var2()

FLA_Error FLA_Eig_gest_nl_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 yT, y01,
24 yB, psi11,
25 y21;
26
27 FLA_Obj y21_l, y21_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( y21, &y21_l, &y21_r, 1, FLA_LEFT );
60
61 // a10t = beta11 * a10t;
62 FLA_Scal_external( beta11, a10t );
63
64 // a10t = a10t + b21' * A20;
65 // a10t^T = a10t^T + A20^T * conj(b21);
66 FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE,
67 FLA_ONE, A20, b21, FLA_ONE, a10t );
68
69 // y21 = A22 * b21;
70 FLA_Hemv_external( FLA_LOWER_TRIANGULAR,
71 FLA_ONE, A22, b21, FLA_ZERO, y21_l );
72
73 // a21 = a21 * beta11;
74 FLA_Scal_external( beta11, a21 );
75
76 // a21 = a21 + 1/2 * y21;
77 FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
78
79 // alpha11 = conj(beta11) * alpha11 * beta11;
80 // = beta11 * alpha11 * beta11;
81 FLA_Scal_external( beta11, alpha11 );
82 FLA_Scal_external( beta11, alpha11 );
83
84 // alpha11 = alpha11 + a21' * b21 + b21' * a21;
85 FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a21, b21, FLA_ONE, alpha11 );
86
87 // a21 = a21 + 1/2 * y21;
88 FLA_Axpy_external( FLA_ONE_HALF, y21_l, a21 );
89
90 /*------------------------------------------------------------*/
91
92 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
93 a10t, alpha11, /**/ a12t,
94 /* ************** */ /* ************************ */
95 &ABL, /**/ &ABR, A20, a21, /**/ A22,
96 FLA_TL );
97
98 FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
99 b10t, beta11, /**/ b12t,
100 /* ************** */ /* *********************** */
101 &BBL, /**/ &BBR, B20, b21, /**/ B22,
102 FLA_TL );
103
104 FLA_Cont_with_3x1_to_2x1( &yT, y01,
105 psi11,
106 /* ** */ /* ***** */
107 &yB, y21, FLA_TOP );
108 }
109
110 return FLA_SUCCESS;
111}
FLA_Scal_external
FLA_Error FLA_Scal_external(FLA_Obj alpha, FLA_Obj A)
Definition FLA_Scal_external.c:13
FLA_Axpy_external
FLA_Error FLA_Axpy_external(FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
Definition FLA_Axpy_external.c:13
FLA_Dot2cs_external
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_Gemvc_external
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_Hemv_external
FLA_Error FLA_Hemv_external(FLA_Uplo uplo, FLA_Obj alpha, FLA_Obj A, FLA_Obj x, FLA_Obj beta, FLA_Obj y)
Definition FLA_Hemv_external.c:13
FLA_ONE_HALF
FLA_Obj FLA_ONE_HALF
Definition FLA_Init.c:19
FLA_ZERO
FLA_Obj FLA_ZERO
Definition FLA_Init.c:20
FLA_ONE
FLA_Obj FLA_ONE
Definition FLA_Init.c:18
FLA_Cont_with_3x3_to_2x2
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_Part_2x2
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_Cont_with_3x1_to_2x1
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_Repart_2x1_to_3x1
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_Part_1x2
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_Part_2x1
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_Obj_length
dim_t FLA_Obj_length(FLA_Obj obj)
Definition FLA_Query.c:116
FLA_Repart_2x2_to_3x3
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
i
int i
Definition bl1_axmyv2.c:145
FLA_Obj_view
Definition FLA_type_defs.h:159

References FLA_Axpy_external(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dot2cs_external(), FLA_Gemvc_external(), FLA_Hemv_external(), 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(), FLA_Scal_external(), FLA_ZERO, and i.

Referenced by FLA_Eig_gest_nl().

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