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arXiv · 1707.05588

A flexible and adaptive Simpler GMRES with deflated restarting for shifted linear systems

Hong-Xiu Zhong·Xian-Ming Gu
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Abstract

In this paper, two efficient iterative algorithms based on the simpler GMRES method are proposed for solving shifted linear systems. To make full use of the shifted structure, the proposed algorithms utilizing the deflated restarting strategy and flexible preconditioning can significantly reduce the number of matrix-vector products and the elapsed CPU time. Numerical experiments are reported to illustrate the performance and effectiveness of the proposed algorithms.

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Hong-Xiu Zhong, Xian-Ming Gu. 2018-07-23. A flexible and adaptive Simpler GMRES with deflated restarting for shifted linear systems. https://doi.org/10.1016/j.camwa.2019.03.017

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