@Article{NM-16-300,
author = { L. Sun, X. H. Wang and Y. Guan},
title = {IMinpert: An Incomplete Minimum Perturbation Algorithm for Large Unsymmetric Linear Systems},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {4},
pages = {300--312},
abstract = {
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.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8058.html}
}