A nonmonotone line search filter algorithm for the system of nonlinear equations
type: Item
instance of: scholarly article
title: A nonmonotone line search filter algorithm for the system of nonlinear equations
zbMATH Open document ID: 1264.65079
DOI: 10.1155/2012/971468
author: Zhong Jin
author: Yuqing Wang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We present a new iterative method based on the line search filter method with the nonmonotone strategy to solve the system of nonlinear equations. The equations are divided into two groups; some equations are treated as constraints and the others act as the objective function, and the two groups are just updated at the iterations where it is needed indeed. We employ the nonmonotone idea to the sufficient reduction conditions and filter technique which leads to a flexibility and acceptance behavior comparable to monotone methods. The new algorithm is shown to be globally convergent and numerical experiments demonstrate its effectiveness.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6173735
describes a project that uses: ipfilter
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/971468
OpenAlex ID: W2125039756
Wikidata QID: Q58912780
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description: scientific article; zbMATH DE number 6173735