文献类型：期刊文献

英文题名：New convergence proofs of modulus-based synchronous multisplitting iteration methods for linear complementarity problems

作者：Zhang, Li-Li[1];Zhang, Yun-Peng[2];Ren, Zhi-Ru[3]

第一作者：张丽丽

通讯作者：Zhang, LL[1]

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

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2015

卷号：481

起止页码：83-93

外文期刊名：LINEAR ALGEBRA AND ITS APPLICATIONS

收录：;EI(收录号：20152100860284);Scopus(收录号：2-s2.0-84929308248);WOS:【SCI-EXPANDED(收录号:WOS:000356123900004)】；

基金：This work was supported by National Natural Science Foundation of China (Nos. 11301141 and 11301521).

语种：英文

外文关键词：Linear complementarity problem; Modulus-based method; Matrix multisplitting; Convergence

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.