New convergence proofs of modulus-based synchronous multisplitting iteration methods for linear complementarity problems

被引：13
|
作者：
Zhang, Li-Li [1 ]
Zhang, Yun-Peng [2 ]
Ren, Zhi-Ru [3 ]
机构：
[1] Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China
[2] North China Univ Water Resources & Elect Power, Coll Elect Power, Zhengzhou 450011, Henan, Peoples R China
[3] Cent Univ Finance & Econ, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 481卷
基金：
中国国家自然科学基金;
关键词：
Linear complementarity problem; Modulus-based method; Matrix multisplitting; Convergence; H+-MATRIX; SPLITTINGS;
D O I：
10.1016/j.laa.2015.04.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Modulus-based synchronous multisplitting iteration methods were recently proposed for solving linear complementarity problems. We give a much simpler approach to prove the convergence of these iteration methods when the system matrix is an H+-matrix. Moreover, this idea can also be applied to prove the convergence of two-step modulus-based synchronous multisplitting iteration methods, which avoids the construction of the irreducible system matrix and the introduction of the infinite norm. (C) 2015 Elsevier Inc. All rights reserved.
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页码：83 / 93
页数：11
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