Title: Thick restarted adaptive weighted block simpler GMRES algorithm

Authors: Hongxiu Zhong; Guoliang Chen

Addresses: School of Science, Jiangnan University, Wuxi, Jiangsu, China ' School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, China

Abstract: In this paper, an adaptive weighted block simpler GMRES algorithm is proposed for linear system with multiple right-hand sides, which can overcome the ill-conditioned difficulty of the basis generated by weighted block simpler GMRES algorithm. Moreover, a thick restarted adaptive weighted block simpler GMRES algorithm is presented to significantly reduce the number of matrix-vector products and the elapsed CPU time. Numerical examples illustrate the performance of our new algorithms.

Keywords: linear system; block GMRES; adaptive simpler GMRES; thick restarting.

DOI: 10.1504/IJMIC.2019.103977

International Journal of Modelling, Identification and Control, 2019 Vol.33 No.1, pp.1 - 8

Available online: 28 Nov 2019 *

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