On a weighted quasi-residual minimization strategy of the QMR method for solving complex symmetric shifted linear systems
Numerical Analysis
2009-02-17 v1
Abstract
We consider the solution of complex symmetric shifted linear systems. Such systems arise in large-scale electronic structure simulations and there is a strong need for the fast solution of the systems. With the aim of solving the systems efficiently, we consider a special case of the QMR method for non-Hermitian shifted linear systems and propose its weighted quasi-minimal residual approach. A numerical algorithm, referred to as shifted QMR\_SYM(), is given by the choice of a particularly cost-effective weight. Numerical examples are presented to show the performance of the shifted QMR\_SYM() method.
Keywords
Cite
@article{arxiv.0902.2614,
title = {On a weighted quasi-residual minimization strategy of the QMR method for solving complex symmetric shifted linear systems},
author = {T. Sogabe and T. Hoshi and S. -L. Zhang and T. Fujiwara},
journal= {arXiv preprint arXiv:0902.2614},
year = {2009}
}