libflame  revision_anchor
Functions
FLA_Chol_l_unb_var1.c File Reference

(r)

Functions

FLA_Error FLA_Chol_l_unb_var1 (FLA_Obj A)
 

Function Documentation

◆ FLA_Chol_l_unb_var1()

FLA_Error FLA_Chol_l_unb_var1 ( FLA_Obj  A)

References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Sqrt(), and FLA_Trsv_external().

Referenced by FLA_Chol_l().

16 {
17  FLA_Obj ATL, ATR, A00, a01, A02,
18  ABL, ABR, a10t, alpha11, a12t,
19  A20, a21, A22;
20 
21  int r_val = FLA_SUCCESS;
22 
23  FLA_Part_2x2( A, &ATL, &ATR,
24  &ABL, &ABR, 0, 0, FLA_TL );
25 
26  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
27 
28  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
29  /* ************* */ /* ************************** */
30  &a10t, /**/ &alpha11, &a12t,
31  ABL, /**/ ABR, &A20, /**/ &a21, &A22,
32  1, 1, FLA_BR );
33 
34  /*------------------------------------------------------------*/
35 
36  // a10t = a10t * inv( tril( A00 )' )
37  // a10t' = inv( conj( tril( A00 ) ) ) * a10t'
38  FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );
39 
40  // alpha11 = alpha11 - a10t * a10t'
41  FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
42 
43  // alpha11 = sqrt( alpha11 )
44  r_val = FLA_Sqrt( alpha11 );
45 
46  if ( r_val != FLA_SUCCESS )
47  return ( FLA_Obj_length( A00 ) );
48 
49  /*------------------------------------------------------------*/
50 
51  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
52  a10t, alpha11, /**/ a12t,
53  /* ************** */ /* ************************ */
54  &ABL, /**/ &ABR, A20, a21, /**/ A22,
55  FLA_TL );
56  }
57 
58  return r_val;
59 }
FLA_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
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_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_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_Sqrt(FLA_Obj alpha)
Definition: FLA_Sqrt.c:13
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
FLA_Error FLA_Dotcs_external(FLA_Conj conj, FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj beta, FLA_Obj rho)
Definition: FLA_Dotcs_external.c:13
FLA_Error FLA_Trsv_external(FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj A, FLA_Obj x)
Definition: FLA_Trsv_external.c:13