A Variant Modified Skew-Normal Splitting Iterative Method for Non-Hermitian Positive Definite Linear Systems  

作　　者：Rui Li Jun-Feng Yin Zhi-Lin Li 

机构地区：[1]College of Data Science,Jiaxing University,Zhejiang 314001,P.R.China [2]School of Mathematical Sciences,Tongji University,Shanghai 200092,P.R.China [3]Center for Research in Scientific Computation and Department of Mathematics,North Carolina State University,Raleigh,NC 27695,USA

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2022年第2期510-529,共20页高等学校计算数学学报（英文版）

基　　金：R.Li is funded by the China Scholarship Council(File No.201808330668);the National Natural Science Foundation of China(Grant No.11701221);J.-F.Yin is funded by the National Natural Science Foundation of China(Grant No.11971354);Z.Li is partially supported by a Simon’s grant 63372.

摘　　要：We propose a variant modified skew-normal splitting iterative method to solve a class of large sparse non-Hermitian positive definite linear systems.Applying the preconditioning technique we also construct the preconditioned version of the proposed method.Theoretical analysis shows that the proposed method is unconditionally convergent even when the real part and the imaginary part of the coefficient matrix are non-symmetric.Meanwhile,when the real part and the imaginary part of the coefficient matrix are symmetric positive definite,we prove that the preconditioned variant modified skew-normal splitting iterative method will also unconditionally converge.Numerical experiments are presented to illustrate the efficiency of the proposed method and show better performance of it when compared with some other methods.

关 键 词：Non-Hermitian matrix skew-normal splitting PRECONDITION complex linear system 

分 类 号：O17[理学—数学]