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关于线性互补问题的模系矩阵分裂迭代方法

张丽丽   

  1. 河南财经政法大学数学与信息科学系, 郑州 450002
  • 收稿日期:2012-07-03 出版日期:2012-11-15 发布日期:2012-11-12

张丽丽. 关于线性互补问题的模系矩阵分裂迭代方法[J]. 计算数学, 2012, 34(4): 373-386.

Zhang Lili. ON MODULUS-BASED MATRIX SPLITTING ITERATION METHODS FOR LINEAR COMPLEMENTARITY PROBLEMS[J]. Mathematica Numerica Sinica, 2012, 34(4): 373-386.

ON MODULUS-BASED MATRIX SPLITTING ITERATION METHODS FOR LINEAR COMPLEMENTARITY PROBLEMS

Zhang Lili   

  1. Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China
  • Received:2012-07-03 Online:2012-11-15 Published:2012-11-12
模系矩阵分裂迭代方法是求解大型稀疏线性互补问题的有效方法之一.本文的目标是归纳总结模系矩阵分裂迭代方法的最新发展和已有成果,主要内容包括相应的多分裂迭代方法, 二级多分裂迭代方法和两步多分裂迭代方法, 以及这些方法的收敛理论.
The modulus-based matrix splitting iteration method is a powerful tool for solving large sparse linear complementarity problems. The goal of this paper is to summarize its recent development and existing results, which mainly include the corresponding multisplitting iteration methods, two-stage multisplitting iteration methods and two-step multisplitting iteration methods, as well as their convergence theories.

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