A Note on the Adaptive Simpler Block GMRES Method

Qiaohua Liu; Lei Yao; Aijing Liu

doi:10.1007/s42967-019-00022-z

Communications on Applied Mathematics and Computation ›› 2019, Vol. 1 ›› Issue (3) : 435-447. DOI: 10.1007/s42967-019-00022-z

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A Note on the Adaptive Simpler Block GMRES Method

Qiaohua Liu¹^,a ,
Lei Yao¹ ,
Aijing Liu²

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Abstract

The adaptive simpler block GMRES method was investigated by Zhong et al. (J Comput Appl Math 282:139–156, 2015) where the condition number of the adaptively chosen basis for the Krylov subspace was evaluated. In this paper, the new upper bound for the condition number is investigated. Numerical tests show that the new upper bound is tighter.

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Qiaohua Liu, Lei Yao, Aijing Liu. A Note on the Adaptive Simpler Block GMRES Method. Communications on Applied Mathematics and Computation, 2019, 1(3): 435‒447 https://doi.org/10.1007/s42967-019-00022-z