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FLA_LU_nopiv_unb_var4.c File Reference

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Functions

FLA_Error FLA_LU_nopiv_unb_var4 (FLA_Obj A)
 

Function Documentation

◆ FLA_LU_nopiv_unb_var4()

FLA_Error FLA_LU_nopiv_unb_var4 ( FLA_Obj  A)

References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), and FLA_Repart_2x2_to_3x3().

Referenced by FLA_LU_nopiv_internal().

16 {
17  FLA_Obj ATL, ATR, A00, a01, A02,
18  ABL, ABR, a10t, alpha11, a12t,
19  A20, a21, A22;
20 
21  FLA_Part_2x2( A, &ATL, &ATR,
22  &ABL, &ABR, 0, 0, FLA_TL );
23 
24  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) &&
25  FLA_Obj_width( ATL ) < FLA_Obj_width( A )){
26 
27  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
28  /* ************* */ /* ************************** */
29  &a10t, /**/ &alpha11, &a12t,
30  ABL, /**/ ABR, &A20, /**/ &a21, &A22,
31  1, 1, FLA_BR );
32 
33  /*------------------------------------------------------------*/
34 
35  // alpha11 = alpha11 - a10t * a01
36  FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
37 
38  // a12t = a12t - a10t * A02
39  FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );
40 
41  // a21 = a21 - A20 * a01
42  FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 );
43 
44  // a21 = a21 / alpha11
45  FLA_Inv_scal_external( alpha11, a21 );
46 
47  /*------------------------------------------------------------*/
48 
49  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
50  a10t, alpha11, /**/ a12t,
51  /* ************** */ /* ************************ */
52  &ABL, /**/ &ABR, A20, a21, /**/ A22,
53  FLA_TL );
54 
55  }
56 
57  return FLA_SUCCESS;
58 }
FLA_Error FLA_Dots_external(FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj beta, FLA_Obj rho)
Definition: FLA_Dots_external.c:13
FLA_Error FLA_Inv_scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Inv_scal_external.c:13
FLA_Error FLA_Gemv_external(FLA_Trans transa, FLA_Obj alpha, FLA_Obj A, FLA_Obj x, FLA_Obj beta, FLA_Obj y)
Definition: FLA_Gemv_external.c:13
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
dim_t FLA_Obj_width(FLA_Obj obj)
Definition: FLA_Query.c:123
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
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116