MF_LUimprove MD_LUimprove ME_LUimprove
MCF_LUimprove MCD_LUimprove MCE_LUimprove
Functioniterative improvement of the solution of a linear system solved by LU decomposition
Syntax C/C++#include <MFstd.h>
void MF_LUimprove( fVector X, fVector B, fMatrix MA, fMatrix LU, uVector Ind, ui len );
C++ MatObj#include <OptiVec.h>
void vector<T>::LUimprove( const vector<T> B, const matrix<T>& MA, const matrix<T>& MLU, const vector<unsigned>& Ind );
Pascal/Delphiuses MFstd;
procedure MF_LUimprove( X, B:fVector; MA, MLU:fMatrix; Ind:uVector; len:UIntSize );
DescriptionEspecially for large matrices, accumulated round-off error in LU decomposition may become quite noticable. This round-off error will translate into inaccurate results of MF_LUsolve. If the input matrix was not overwritten by the out put matrix in the initial call to MF_LUdecompose, you may call MF_LUimprove after MF_LUsolve to improve the accuracy by iteration. MF_LUimprove needs the output vector X of MF_LUsolve, the right-hand-side vector B of the linear system, and both the original matrix MA and its raw LU-decomposed form MLU along with its permutation indices, Ind, as arguments.
See alsochapter 10

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