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FLA_LU_nopiv_unb_var2.c File Reference

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Functions

FLA_Error FLA_LU_nopiv_unb_var2 (FLA_Obj A)
 

Function Documentation

◆ FLA_LU_nopiv_unb_var2()

FLA_Error FLA_LU_nopiv_unb_var2 ( FLA_Obj  A)
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  // a10t = a10t / triu( A00 )
36  FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );
37 
38  // alpha11 = alpha11 - a10t * a01
39  FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
40 
41  // a12t = a12t - a10t * A02
42  FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );
43 
44  /*------------------------------------------------------------*/
45 
46  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
47  a10t, alpha11, /**/ a12t,
48  /* ************** */ /* ************************ */
49  &ABL, /**/ &ABR, A20, a21, /**/ A22,
50  FLA_TL );
51 
52  }
53 
54  if ( FLA_Obj_length( ABL ) > 0 )
55  // ABL = ABL / triu( ATL )
56  FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR,
57  FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
58  FLA_ONE, ATL, ABL );
59 
60  return FLA_SUCCESS;
61 }
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_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_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
FLA_Error FLA_Trsm_external(FLA_Side side, FLA_Uplo uplo, FLA_Trans trans, FLA_Diag diag, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
Definition: FLA_Trsm_external.c:13
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_width(FLA_Obj obj)
Definition: FLA_Query.c:123
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_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trsm_external(), and FLA_Trsv_external().

Referenced by FLA_LU_nopiv_internal().