A Cauchy point direction trust region algorithm for nonlinear equations
type: Item
instance of: scholarly article
title: A Cauchy point direction trust region algorithm for nonlinear equations
zbMATH Open document ID: 1459.65087
DOI: 10.1155/2020/4072651
author: Zhou Sheng
author: Dan Luo
published in: Mathematical Problems in Engineering
publication date: 2020-10-12T00:00:00Z
review text: Summary: In this paper, a Cauchy point direction trust region algorithm is presented to solve nonlinear equations. The search direction is an optimal convex combination of the trust region direction and the Cauchy point direction with the sufficiently descent property and the automatic trust region property. The global convergence of the proposed algorithm is proven under some conditions. The preliminary numerical results demonstrate that the proposed algorithm is promising and has better convergence behaviors than the other two existing algorithms for solving large-scale nonlinear equations.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C55
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 7259600
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/4072651
OpenAlex ID: W3080813894
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description: scientific article; zbMATH DE number 7259600