@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} }