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

Zhong, H-X. & Gu, X-M., 1-Aug-2019, In : Computers & Mathematics with Applications. 78, 3, p. 997-1007 11 p.

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

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DOI

  • Hong-Xiu Zhong
  • Xian-Ming Gu

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. (C) 2019 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)997-1007
Number of pages11
JournalComputers & Mathematics with Applications
Volume78
Issue number3
Publication statusPublished - 1-Aug-2019

    Keywords

  • Shifted linear system, Adaptive Simpler GMRES, Flexible preconditioning, Deflated restarting, BLOCK-GMRES, ALGORITHM, FAMILIES

ID: 118426680