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求解P_*(τ)阵线性互补问题的高阶宽邻域内点算法
引用本文:龚小玉,张明望.求解P_*(τ)阵线性互补问题的高阶宽邻域内点算法[J].河南师范大学学报(自然科学版),2006,34(4):178-180.
作者姓名:龚小玉  张明望
作者单位:三峡大学,理学院,湖北,宜昌,443002
摘    要:对P*(τ)线性互补问题提出了一种高阶宽邻域内点算法,在算法的每步迭代过程中,基于线性规划原始-对偶仿射尺度算法的思想来求解一个线性方程组,得到迭代方向,再适当选取步长,得到算法迭代的多项式复杂性.

关 键 词:线性互补问题  内点算法  多项式复杂性  P_*(τ)矩阵
文章编号:1000-2367(2006)04-0178-03
收稿时间:2006-03-05
修稿时间:2006年3月5日

A High-Order Wide Neighborhood Interior-Point Algorithm for Solving P*τ Matrix Linear Complementarity Problem
GONG Xiao-yu,ZHANG Ming-wang.A High-Order Wide Neighborhood Interior-Point Algorithm for Solving P*τ Matrix Linear Complementarity Problem[J].Journal of Henan Normal University(Natural Science),2006,34(4):178-180.
Authors:GONG Xiao-yu  ZHANG Ming-wang
Institution:College of Science, Three Gorges University, Yichang 443002,China
Abstract:This paper provides a wide neighborhood interior-point algorithm-high-order for solving P_*(τ) matrix linear complementary problems.On the basis of the idea of primal-dual affine scaling method for linear programming,the search direction of our algorithm is obtained by a linear system of equation at each iteration.And we choose an appropriate step size,such that the algorithm has polynomial time complexity.
Keywords:linear complementary problem  interior point algorithm  polynomial-time complexity  P_*(τ)-matrix
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