FLA_Chol_l_unb_var2.c File Reference

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Functions

FLA_Error FLA_Chol_l_unb_var2 (FLA_Obj A)

Function Documentation

FLA_Error FLA_Chol_l_unb_var2 ( FLA_Obj  A  ) 

References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Gemvc_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sqrt().

00038 {
00039   FLA_Obj ATL,   ATR,      A00,  a01,     A02,
00040           ABL,   ABR,      a10t, alpha11, a12t,
00041                            A20,  a21,     A22;
00042 
00043   int value = 0;
00044 
00045   FLA_Part_2x2( A,    &ATL, &ATR,
00046                       &ABL, &ABR,     0, 0, FLA_TL );
00047 
00048   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00049 
00050     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
00051                         /* ************* */   /* ************************** */
00052                                                 &a10t, /**/ &alpha11, &a12t,
00053                            ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
00054                            1, 1, FLA_BR );
00055 
00056     /*------------------------------------------------------------*/
00057 
00058     if ( FLA_Obj_is_real( A ) )
00059     {
00060       /* alpha11 = alpha11 - a10t * a10t'; */
00061       FLA_Dots_external( FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
00062 
00063       /* a21 = a21 - A20 * a10t'; */
00064       FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 );
00065 
00066       /* alpha11 = sqrt( alpha11 ); */
00067       value = FLA_Sqrt( alpha11 );
00068 
00069       if ( value != FLA_SUCCESS )
00070         return ( FLA_Obj_length( A00 ) + 1 );
00071 
00072       /* a21 = a21 / alpha11; */
00073       FLA_Inv_scal_external( alpha11, a21 );
00074     }
00075     else
00076     {
00077       /* alpha11 = alpha11 - a10t * a10t'; */
00078       FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );
00079 
00080       /* a21 = a21 - A20 * a10t'; */
00081       FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 );
00082 
00083       /* alpha11 = sqrt( alpha11 ); */
00084       value = FLA_Sqrt( alpha11 );
00085 
00086       if ( value != FLA_SUCCESS )
00087         return ( FLA_Obj_length( A00 ) + 1 );
00088 
00089       /* a21 = a21 / alpha11; */
00090       FLA_Inv_scal_external( alpha11, a21 );
00091     }
00092 
00093     /*------------------------------------------------------------*/
00094 
00095     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
00096                                                      a10t, alpha11, /**/ a12t,
00097                             /* ************** */  /* ************************ */
00098                               &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
00099                               FLA_TL );
00100   }
00101 
00102   return value;
00103 }


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