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Approaches for Convergence of a Basic Iterative Method for the Linear Complementarity Problem

机译：线性互补问题基本迭代法收敛的方法

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摘要

Iterative methods have been found very useful for solving many large linear complementarity problems arising from applications. In this paper, we formulate a basic algorithm and use it as a unifying framework for the study of such methods. Next, we apply various strategies to investigate the convergence of the basic algorithm. Finally, we discuss the possibility of extending the analysis presented here to treat other complementarity and variational problems. (Author)

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作者
Pang, J. S.;
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年度 1980
页码 p.1-35
总页数 35
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Matrices(Mathematics); Iterations; Convergence; Quadratic programming; Numerical methods and procedures; Theorems; Symmetry;

机译：矩阵（数学）;迭代;收敛;二次规划;数值方法和程序;定理;对称性;

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专利

1. Improved convergence theorems of the two-step modulus-based matrix splitting and synchronous multisplitting iteration methods for solving linear complementarity problems [J] . Zheng Hua, Vong Seakweng Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2019,第9a12期

机译：改进了基于两步模数的矩阵分裂和同步多相迭代方法的改进，用于解决线性互补问题
2. On the convergence of modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems with H+-matrices [J] . Li Rui, Yin Jun-Feng Journal of Computational and Applied Mathematics . 2018,第期

机译：关于基于模数的矩阵拆分方法对H + -Matrics类非线性互补问题的融合
3. On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with H+-Matrices [J] . Rui Li, Yan Wang, Junfeng Yin 高等学校计算数学学报（英文版） . 2018,第001期

机译：具有H +矩阵的约束非线性互补问题的基于两步模量的矩阵分裂迭代法的收敛性
4. Multisplitting iterative methods with general weighting matrices for solving a symmetric positive linear complementarity problem [C] . B. X. Duan, A. M. Yu International Conference on Artificial Intelligence and Industrial Application . 2015

机译：一种求解对称正线性互补问题的一般加权矩阵的多相迭代方法
5. ITERATIVE METHODS FOR SOLVING LINEAR COMPLEMENTARITY AND LINEAR PROGRAMMING PROBLEMS. [D] . CHENG, YUN-CHIAN. 1981

机译：解决线性互补和线性规划问题的迭代方法。
6. Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems [O] . An Wang, Yang Cao, Quan Shi -1

机译：隐式互补问题基于模量的矩阵分裂迭代方法的收敛性分析
7. On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with H+-Matrices [O] . Rui Li 2018

机译：关于H + -Matrics的限制非线性互补问题的两步模数基矩阵分割迭代方法的收敛性研究

Approaches for Convergence of a Basic Iterative Method for the Linear Complementarity Problem

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