A Note on the Adaptive Simpler Block GMRES Method  

作　　者：Qiaohua Liu Lei Yao Aijing Liu 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,China [2]School of Mathematical Sciences,Qufu Normal University,Qufu 273165,Shandong Province,China

出　　处：《Communications on Applied Mathematics and Computation》2019年第3期435-447,共13页应用数学与计算数学学报（英文）

基　　金：This work was supported by the National Natural Science Foundation of China(11701320);the Shandong Provincial Natural Science Foundation of China(ZR2016AM04).

摘　　要：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.

关 键 词：Large-scale NONSYMMETRIC linear system Krylov SUBSPACE method ADAPTIVE simpler BLOCK GMRES Condition number 

分 类 号：O1[理学—数学]