A family of conjugate gradient methods for large-scale nonlinear equations

In this paper, we present a family of conjugate gradient projection methods for solving large-scale nonlinear equations. At each iteration, it needs low storage and the subproblem can be easily solved. Compared with the existing solution methods for solving the problem, its global convergence is est...

Descripción completa

Detalles Bibliográficos
Autores principales: Feng, Dexiang, Sun, Min, Wang, Xueyong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5610229/
https://www.ncbi.nlm.nih.gov/pubmed/28989261
http://dx.doi.org/10.1186/s13660-017-1510-0
_version_ 1783265738396532736
author Feng, Dexiang
Sun, Min
Wang, Xueyong
author_facet Feng, Dexiang
Sun, Min
Wang, Xueyong
author_sort Feng, Dexiang
collection PubMed
description In this paper, we present a family of conjugate gradient projection methods for solving large-scale nonlinear equations. At each iteration, it needs low storage and the subproblem can be easily solved. Compared with the existing solution methods for solving the problem, its global convergence is established without the restriction of the Lipschitz continuity on the underlying mapping. Preliminary numerical results are reported to show the efficiency of the proposed method.
format Online
Article
Text
id pubmed-5610229
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-56102292017-10-05 A family of conjugate gradient methods for large-scale nonlinear equations Feng, Dexiang Sun, Min Wang, Xueyong J Inequal Appl Research In this paper, we present a family of conjugate gradient projection methods for solving large-scale nonlinear equations. At each iteration, it needs low storage and the subproblem can be easily solved. Compared with the existing solution methods for solving the problem, its global convergence is established without the restriction of the Lipschitz continuity on the underlying mapping. Preliminary numerical results are reported to show the efficiency of the proposed method. Springer International Publishing 2017-09-22 2017 /pmc/articles/PMC5610229/ /pubmed/28989261 http://dx.doi.org/10.1186/s13660-017-1510-0 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Feng, Dexiang
Sun, Min
Wang, Xueyong
A family of conjugate gradient methods for large-scale nonlinear equations
title A family of conjugate gradient methods for large-scale nonlinear equations
title_full A family of conjugate gradient methods for large-scale nonlinear equations
title_fullStr A family of conjugate gradient methods for large-scale nonlinear equations
title_full_unstemmed A family of conjugate gradient methods for large-scale nonlinear equations
title_short A family of conjugate gradient methods for large-scale nonlinear equations
title_sort family of conjugate gradient methods for large-scale nonlinear equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5610229/
https://www.ncbi.nlm.nih.gov/pubmed/28989261
http://dx.doi.org/10.1186/s13660-017-1510-0
work_keys_str_mv AT fengdexiang afamilyofconjugategradientmethodsforlargescalenonlinearequations
AT sunmin afamilyofconjugategradientmethodsforlargescalenonlinearequations
AT wangxueyong afamilyofconjugategradientmethodsforlargescalenonlinearequations
AT fengdexiang familyofconjugategradientmethodsforlargescalenonlinearequations
AT sunmin familyofconjugategradientmethodsforlargescalenonlinearequations
AT wangxueyong familyofconjugategradientmethodsforlargescalenonlinearequations

Ejemplares similares