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一种新的带扰动项的算法的全局收敛性

李梅霞 籍法俊

应用数学2008,Vol.21Issue(1):213-218,6.
应用数学2008,Vol.21Issue(1):213-218,6.

一种新的带扰动项的算法的全局收敛性

Global Convergence of a New Kind of Method with Perturbations

李梅霞 1籍法俊1

作者信息

  • 1. 潍坊学院数学系,山东,潍坊,261061
  • 折叠

摘要

Abstract

A new kind of method which is called three-term memory gradient hybrid projection method with perturbations is proposed.And the generalized Armijo line search is used in this method.At the same time,global convergence property of the method is proved only in the case where the gradient function is uniformly continuous on an open convex set containing the iteration sequence.Numerical examples are given at the end of this paper.

关键词

三项记忆梯度混合投影算法/扰动/全局收敛性

Key words

Three-term memory gradient hybrid projection method/Perturbation/Global convergence

分类

数理科学

引用本文复制引用

李梅霞,籍法俊..一种新的带扰动项的算法的全局收敛性[J].应用数学,2008,21(1):213-218,6.

基金项目

Supported by the National Natural Science Foundation of China (10571106) (10571106)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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