Hermitian and normal splitting methods for non-Hermitian positive definite linear systems

被引：3

作者：

Cao, Yang ^{[1
]}

Mao, Lin ^{[1
]}

Xu, Xun-Qian ^{[1
]}

机构：

[1] Nantong Univ, Sch Transportat, Nantong 226019, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷

基金：

中国国家自然科学基金;

关键词：

Non-Hermitian positive-definite matrix; HSS iteration; NSS iteration; Convergence; SADDLE-POINT PROBLEMS; NAVIER-STOKES EQUATIONS; ITERATION METHODS; PRECONDITIONER;

D O I：

10.1016/j.amc.2014.06.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a Hermitian and normal splitting (HNS) iterative method is proposed for solving non-Hermitian positive definite linear systems arising from convection-diffusion-reaction equations. Theoretical analysis shows that the HNS method converges unconditionally to the exact solution of the linear system. Choices of the parameters are discussed. The corresponding inexact HNS (IHNS) iterative method, which is developed by employing some Krylov subspace methods as its inner process, is studied. Finally, some numerical experiments are presented to demonstrate the effectiveness of the new method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：690 / 702

页数：13

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