FLA_LU_nopiv_unb_var1.c File Reference

(r)


Functions

FLA_Error FLA_LU_nopiv_unb_var1 (FLA_Obj A)

Function Documentation

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 }


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