TY - JOUR
T1 - IMinpert: An Incomplete Minimum Perturbation Algorithm for Large Unsymmetric Linear Systems
AU -  L. Sun, X. H. Wang & Y. Guan
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 4
SP - 300
EP - 312
PY - 2007
DA - 2007/11
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8058.html
KW - 
AB - 
This paper gives the truncated version of the Minpert method: the
incomplete minimum perturbation algorithm (IMinpert). It is based
on an \emph{incomplete orthogonalization} of the Krylov vectors in
question, and gives a quasi-minimum backward error solution over the
Krylov subspace. In order to make the practical implementation of
IMinpert easy and convenient, we give another approximate version of
the IMinpert method: A-IMinpert. Theoretical properties of the
latter algorithm are discussed. Numerical experiments are reported
to show the proposed method is effective in practice and is
competitive with the Minpert algorithm.