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P*(k)线性互补问题基于一类新核函数的大步校正内点算法

陈月姣 张明望

应用数学2012,Vol.25Issue(1):61-70,10.
应用数学2012,Vol.25Issue(1):61-70,10.

P*(k)线性互补问题基于一类新核函数的大步校正内点算法

A Large-update Interior-point Algorithm for P * (k) LCPs Based on a New Class of Kernel Functions

陈月姣 1张明望1

作者信息

  • 1. 三峡大学理学院,湖北宜昌443002
  • 折叠

摘要

Abstract

In this paper,motivated by the complexity results for LO based on kernel functions,we extend a generic primal-dual interior-point algorithm based on a new class of kernel functions to solve P* (k) LCPs.By using some elegant and simple tools,under the interior-point condition,we show that the large update primal-dual interior-point methods for solving P* (k) LCPs enjoys O(q(2k+ 1)n1/p (log n)1+1/qlog n(ε)-1 ) iteration bound.

关键词

核函数/线性互补问题/内点算法/大步校正算法/多项式复杂性

Key words

Kernel function/Linear complementarity problem/Interior-point algorithm/Large-update method/Polynomial complexity

分类

数理科学

引用本文复制引用

陈月姣,张明望..P*(k)线性互补问题基于一类新核函数的大步校正内点算法[J].应用数学,2012,25(1):61-70,10.

基金项目

Supported by the Natural Science Foundation of Hubei Province(2008CDZ047) (2008CDZ047)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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