A nonmonotone projection method for constrained system of nonlinear equations
type: Item
instance of: scholarly article
title: A nonmonotone projection method for constrained system of nonlinear equations
zbMATH Open document ID: 1426.65078
DOI: 10.1155/2017/8270649
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper deals with the nonmonotone projection algorithm for constrained nonlinear equations. For some starting points, the previous projection algorithms for the problem may encounter slow convergence which is related to the monotone behavior of the iterative sequence as well as the iterative direction. To circumvent this situation, we adopt the nonmonotone technique introduced by Dang to develop a nonmonotone projection algorithm. After constructing the nonmonotone projection algorithm, we show its convergence under some suitable condition. Preliminary numerical experiment is reported at the end of this paper, from which we can see that the algorithm we propose converges more quickly than that of the usual projection algorithm for some starting points.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6972558
Wikidata QID: Q59147821
describes a project that uses: levmar
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/8270649
OpenAlex ID: W2572079411
cites work: Q2765625
cites work: Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
cites work: Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
cites work: Finding all solutions of nonlinearly constrained systems of equations
cites work: A projection method for a system of nonlinear monotone equations with convex constraints
cites work: On the convergence of a trust-region method for solving constrained nonlinear equations with degenerate solutions
cites work: Q5453750
cites work: An Armijo-type method for pseudomonotone equilibrium problems and its applications
cites work: Q3167119
cites work: New hybrid conjugate gradient projection method for the convex constrained equations
cites work: A superlinearly convergent projection method for constrained systems of nonlinear equations
cites work: Non-monotonous accelerated parallel subgradient projection algorithm for convex feasibility problem
cites work: Unified framework of extragradient-type methods for pseudomonotone variational inequalities.
description: scientific article; zbMATH DE number 6972558