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求解水平线性互补问题的同伦方法

he homopoty method for solving horizontal linear complementarity problem

中文摘要英文摘要

本文,我们构造了组合同伦方程.引入N-矩阵的定义及性质.利用组合同伦内点方法来求解水平线性互补问题的解.并在一定的条件假设下,证明了,此方法具有全局收敛性.

In this paper, we construct a combined homotopy equation and introduct the definition and the characters of N-matrix. Combined homopoty interior-point method is used to solve the generalized horizontal linear complementarity problem. As a by-product of our analysis, we obtain that this method is global convergent under reasonable assumptions.

赵雪、高静、刘庆怀、张树功

数学

水平线性互补问题同伦方法全局收敛性

Horizontal linear complementarity problemHomopoty methodGlobal convergence

赵雪,高静,刘庆怀,张树功.求解水平线性互补问题的同伦方法[EB/OL].(2010-01-19)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201001-824.点此复制

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