Functions | |
FLA_Error | FLA_LU_nopiv_unb_var1 (FLA_Obj A) |
References FLA_Cont_with_3x3_to_2x2(), FLA_Dots_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().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 00042 00043 FLA_Part_2x2( A, &ATL, &ATR, 00044 &ABL, &ABR, 0, 0, FLA_TL ); 00045 00046 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) && 00047 FLA_Obj_width( ATL ) < FLA_Obj_width( A )){ 00048 00049 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00050 /* ************* */ /* ************************** */ 00051 &a10t, /**/ &alpha11, &a12t, 00052 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00053 1, 1, FLA_BR ); 00054 00055 /*------------------------------------------------------------*/ 00056 00057 /* a01 = trilu( A00 ) \ a01 */ 00058 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 ); 00059 00060 /* a10t = a10t / triu( A00 ) */ 00061 FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); 00062 00063 /* alpha11 = alpha11 - a10t * a01 */ 00064 FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 ); 00065 00066 /*------------------------------------------------------------*/ 00067 00068 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00069 a10t, alpha11, /**/ a12t, 00070 /* ************** */ /* ************************ */ 00071 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00072 FLA_TL ); 00073 00074 } 00075 00076 if ( FLA_Obj_length( ABL ) > 0 ) 00077 /* ABL = ABL / triu( ATL ) */ 00078 FLA_Trsm_external( FLA_RIGHT, FLA_UPPER_TRIANGULAR, 00079 FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, 00080 FLA_ONE, ATL, ABL ); 00081 else if ( FLA_Obj_width( ATR ) > 0 ) 00082 /* ATR = trilu( ATL ) \ ATR */ 00083 FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR, 00084 FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, 00085 FLA_ONE, ATL, ATR ); 00086 00087 return FLA_SUCCESS; 00088 }