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Dai-Kou type conjugate gradient methods with a line search only using gradient

In this paper, the Dai-Kou type conjugate gradient methods are developed to solve the optimality condition of an unconstrained optimization, they only utilize gradient information and have broader application scope. Under suitable conditions, the developed methods are globally convergent. Numerical...

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Detalles Bibliográficos
Autores principales: Huang, Yuanyuan, Liu, Changhe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5380739/
https://www.ncbi.nlm.nih.gov/pubmed/28435203
http://dx.doi.org/10.1186/s13660-017-1341-z
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author Huang, Yuanyuan
Liu, Changhe
author_facet Huang, Yuanyuan
Liu, Changhe
author_sort Huang, Yuanyuan
collection PubMed
description In this paper, the Dai-Kou type conjugate gradient methods are developed to solve the optimality condition of an unconstrained optimization, they only utilize gradient information and have broader application scope. Under suitable conditions, the developed methods are globally convergent. Numerical tests and comparisons with the PRP+ conjugate gradient method only using gradient show that the methods are efficient.
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spelling pubmed-53807392017-04-20 Dai-Kou type conjugate gradient methods with a line search only using gradient Huang, Yuanyuan Liu, Changhe J Inequal Appl Research In this paper, the Dai-Kou type conjugate gradient methods are developed to solve the optimality condition of an unconstrained optimization, they only utilize gradient information and have broader application scope. Under suitable conditions, the developed methods are globally convergent. Numerical tests and comparisons with the PRP+ conjugate gradient method only using gradient show that the methods are efficient. Springer International Publishing 2017-04-04 2017 /pmc/articles/PMC5380739/ /pubmed/28435203 http://dx.doi.org/10.1186/s13660-017-1341-z 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
Huang, Yuanyuan
Liu, Changhe
Dai-Kou type conjugate gradient methods with a line search only using gradient
title Dai-Kou type conjugate gradient methods with a line search only using gradient
title_full Dai-Kou type conjugate gradient methods with a line search only using gradient
title_fullStr Dai-Kou type conjugate gradient methods with a line search only using gradient
title_full_unstemmed Dai-Kou type conjugate gradient methods with a line search only using gradient
title_short Dai-Kou type conjugate gradient methods with a line search only using gradient
title_sort dai-kou type conjugate gradient methods with a line search only using gradient
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5380739/
https://www.ncbi.nlm.nih.gov/pubmed/28435203
http://dx.doi.org/10.1186/s13660-017-1341-z
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