Functions | |
FLA_Error | FLA_LU_piv_unb_var4 (FLA_Obj A, FLA_Obj p) |
References FLA_Apply_pivots(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Iamax_external(), FLA_Inv_scal_external(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), and FLA_Repart_2x2_to_3x3().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 00042 00043 FLA_Obj pT, p0, 00044 pB, pi1, 00045 p2; 00046 00047 FLA_Obj AB0, aB1, AB2; 00048 00049 FLA_Part_2x2( A, &ATL, &ATR, 00050 &ABL, &ABR, 0, 0, FLA_TL ); 00051 00052 FLA_Part_2x1( p, &pT, 00053 &pB, 0, FLA_TOP ); 00054 00055 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00056 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00057 00058 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00059 /* ************* */ /* ************************** */ 00060 &a10t, /**/ &alpha11, &a12t, 00061 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00062 1, 1, FLA_BR ); 00063 00064 FLA_Repart_2x1_to_3x1( pT, &p0, 00065 /* ** */ /* *** */ 00066 &pi1, 00067 pB, &p2, 1, FLA_BOTTOM ); 00068 00069 /*------------------------------------------------------------*/ 00070 00071 /* alpha11 = alpha11 - a10t * a01 */ 00072 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); 00073 00074 /* a21 = a21 - A20 * a01 */ 00075 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 ); 00076 00077 /* aB1 = / alpha11 \ 00078 \ a21 / */ 00079 FLA_Merge_2x1( alpha11, 00080 a21, &aB1 ); 00081 00082 /* Determine pivot row and pivot */ 00083 FLA_Iamax_external( aB1, pi1 ); 00084 00085 FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 ); 00086 00087 /* AB0 = / a10t \ 00088 \ A20 / */ 00089 FLA_Merge_2x1( a10t, 00090 A20, &AB0 ); 00091 00092 /* AB2 = / a12t \ 00093 \ A22 / */ 00094 FLA_Merge_2x1( a12t, 00095 A22, &AB2 ); 00096 00097 /* Apply pivots to remaining columns */ 00098 FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 ); 00099 FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 ); 00100 00101 /* a21 = a21 / alpha11 */ 00102 FLA_Inv_scal_external( alpha11, a21 ); 00103 00104 /* a12t = a12t - a10t * A02 */ 00105 FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t ); 00106 00107 /*------------------------------------------------------------*/ 00108 00109 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00110 a10t, alpha11, /**/ a12t, 00111 /* ************** */ /* ************************ */ 00112 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00113 FLA_TL ); 00114 00115 FLA_Cont_with_3x1_to_2x1( &pT, p0, 00116 pi1, 00117 /* ** */ /* *** */ 00118 &pB, p2, FLA_TOP ); 00119 00120 } 00121 00122 return FLA_SUCCESS; 00123 }