Thick restarted adaptive weighted block simpler GMRES algorithm
by Hongxiu Zhong; Guoliang Chen
International Journal of Modelling, Identification and Control (IJMIC), Vol. 33, No. 1, 2019

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.

Online publication date: Wed, 04-Dec-2019

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