QMR: a Quasi-Minimal Residual Method for Non-Hermitian Linear Systems (1991)
by
Roland W. Freund
,
Noël M. Nachtigal
| Citations: | 293 - 26 self |
BibTeX
@MISC{Freund91qmr:a,
author = {Roland W. Freund and Noël M. Nachtigal},
title = {QMR: a Quasi-Minimal Residual Method for Non-Hermitian Linear Systems},
year = {1991}
}
Years of Citing Articles
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
... In this paper, we present a novel BCG-like approach, the quasi-minimal residual (QMR) method, which overcomes the problems of BCG. An implementation of QMR based on a look-ahead version of the nonsymmetric Lanczos algorithm is proposed. It is shown how BCG iterates can be recovered stably from the QMR process. Some further properties of the QMR approach are given and an error bound is presented. Finally, numerical experiments are reported.
