On semi-convergence of parameterized SHSS method for a class of singular complex symmetric linear systems

被引：6

作者：

Li, Cheng-Liang ^{[1
,2
]}

Ma, Chang-Feng ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Informat, Fuzhou 350117, Fujian, Peoples R China

[2] Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 77卷 / 02期

基金：

美国国家科学基金会;

关键词：

Complex linear systems; Iterative method; Semi-convergence; Preconditioning; FOURIER COLLOCATION METHODS; HERMITIAN SPLITTING METHODS; HSS METHOD; BIFURCATION;

D O I：

10.1016/j.camwa.2018.09.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the parameterized single-step HSS (P-SHSS) iterative method to solve a broad class of singular complex symmetric linear systems. The semi-convergence properties of the P-SHSS method are derived under suitable conditions. Moreover, some properties of the preconditioned matrix and the optimal parameters are analyzed in detail. Numerical experiments are given to support our theoretical results and show the effectiveness of the P-SHSS method either as a solver or as a preconditioner. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：466 / 475

页数：10

共 41 条

[21] Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions [J].

Guo, Limin ;

Liu, Lishan ;

Wu, Yonghong .

NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (05) :635-650

[22] THEORY OF ROTATED EQUATIONS AND APPLICATIONS TO A POPULATION MODEL [J].

Han, Maoan ;

Hou, Xiaoyan ;

Sheng, Lijuan ;

Wang, Chaoyang .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (04) :2171-2185

[23] Bifurcation theory for finitely smooth planar autonomous differential systems [J].

Han, Maoan ;

Sheng, Lijuan ;

Zhang, Xiang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (05) :3596-3618

[24] A new iterative method for solving a class of complex symmetric system of linear equations [J].

Hezari, Davod ;

Salkuyeh, Davod Khojasteh ;

Edalatpour, Vahid .

NUMERICAL ALGORITHMS, 2016, 73 (04) :927-955

[25]

Horn R. A., 1985, MATRIX ANAL

[26] A practical formula for computing optimal parameters in the HSS iteration methods [J].

Huang, Yu-Mei .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 :142-149

[27] A single-step HSS method for non-Hermitian positive definite linear systems [J].

Li, Cui-Xia ;

Wu, Shi-Liang .

APPLIED MATHEMATICS LETTERS, 2015, 44 :26-29

[28] GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK [J].

Li, Fushan ;

Du, Guangwei .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (01) :390-401

[29] Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations [J].

Li, Mengmeng ;

Wang, JinRong .

APPLIED MATHEMATICS AND COMPUTATION, 2018, 324 :254-265

[30] Block SOR methods for the solution of indefinite least squares problems [J].

Liu, Qiaohua ;

Liu, Aijing .

CALCOLO, 2014, 51 (03) :367-379

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