The convergence properties of some new conjugate gradient methods
type: Item
instance of: scholarly article
title: The convergence properties of some new conjugate gradient methods
zbMATH Open document ID: 1116.65073
author: Shengwei Yao
author: Liying Liu
author: Zengxin Wei
published in: Applied Mathematics and Computation
publication date: 2007-02-19T00:00:00Z
review text: A new conjugate gradient formula \(\beta^*_k\) is given to compute the search directions for unconstrained optimization problems. General convergence results for the proposed formula with exact Wolfe-Powell line search and Grippo-Lucidi line search. Under these line searches and some assumptions, the global convergence properties of the given methods are discussed. The given formula \(\beta^*_k\geq 0\) has the similar form as \(\beta^{PRP}_k\). Some numerical results show that the proposed methods are efficient.
reviewed by: Stefan Mititelu
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C59
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 5128319
zbMATH Keywords: nonlinear optimization
zbMATH Keywords: conjugate gradient
zbMATH Keywords: exact line search
zbMATH Keywords: inexact line search
zbMATH Keywords: global convergence
zbMATH Keywords: unconstrained optimization problem
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: j.amc.2006.05.150
OpenAlex ID: W2053799091
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DOI: 10.1016/J.AMC.2006.05.150
description: scientific article; zbMATH DE number 5128319