Two-Parameter Block Triangular Splitting Preconditioner for Block Two-by-Two Linear Systems

作     者：Bo Wu Xingbao Gao Bo Wu;·Xingbao Gao

作者机构：School of Mathematics and StatisticsNingxia UniversityYinchuan750021NingxiaChina School of Mathematics and StatisticsShaanxi Normal UniversityXi’an710062ShaanxiChina 

出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)

年 卷 期：2023年第5卷第4期

页      面：1601-1615页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China under Grant Nos.61273311 and 61803247 

主　　题：Block triangular splitting Block two-by-two linear systems Eigenvalues Preconditioner flexible generalized minimal residual(FGMRES) 

摘      要：This paper proposes a two-parameter block triangular splitting(TPTS)preconditioner for the general block two-by-two linear *** eigenvalues of the corresponding preconditioned matrix are proved to cluster around 0 or 1 under mild *** limited numerical results show that the TPTS preconditioner is more efficient than the classic block-diagonal and block-triangular preconditioners when applied to the flexible generalized minimal residual(FGMRES)method.