GENERALIZED CONJUGATE A-ORTHOGONAL RESIDUAL SQUARED METHOD FOR COMPLEX NON-HERMITIAN LINEAR SYSTEMS

作     者：Jianhua Zhang Hua Dai 

作者机构：Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing 210016 China Department of Mathematics Anhui Science and Technology University Fengyang 233100 China Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing 210016 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2014年第32卷第3期

页      面：248-265页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：The authors are grateful to the referees for their valuable comments and suggestions which helped to improve the presentation of this paper. The research is supported by the National Natural Science Foundation of China under grant No.11071118  Natural Science Foundation from Anhui Province Education Department under grant No.KJ2012B058 and AHSTU under grant No.ZRC2013388 

主　　题：Krylov subspace BiCOR method CORS method Complex non-Hermitianlinear systems. 

摘      要：Recently numerous numerical experiments on realistic calculation have shown that the conjugate A-orthogonal residual squared （CORS） method is often competitive with other popular methods. However, the CORS method, like the CGS method, shows irreg- ular convergence, especially appears large intermediate residual norm, which may lead to worse approximate solutions and slower convergence rate. In this paper, we present a new product-type method for solving complex non-Hermitian linear systems based on the bicon- jugate A-orthogonal residual （BiCOR） method, where one of the polynomials is a BiCOR polynomial, and the other is a BiCOR polynomial with the same degree corresponding to different initial residual. Numerical examples are given to illustrate the effectiveness of the proposed method.