A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization

A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization

In this paper, we have investigated a new class of conjugate gradient algorithms for unconstrained non-linear optimization which are based on the quadratic model. Some theoretical results are investigated which are sufficient descent and ensure the local convergence of the new proposed algorithms. N...

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Bibliographic Details
Main Authors: Basim Hassan, Hameed Sadiq
Format: Article
Language:Arabic
Published: Mosul University 2014-07-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
conjugate gradient
quadratic model
Online Access:https://csmj.mosuljournals.com/article_163729_4070b8bf3c58e15113614b438bbb341a.pdf
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spelling doaj-3dc13874b99947b4b3c756d5999dd97b2020-11-25T04:08:35ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902014-07-01111253710.33899/csmj.2014.163729163729A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained OptimizationBasim Hassan0Hameed Sadiq1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics, College of Computer Science and Mathematics University of Mosul, IRAQIn this paper, we have investigated a new class of conjugate gradient algorithms for unconstrained non-linear optimization which are based on the quadratic model. Some theoretical results are investigated which are sufficient descent and ensure the local convergence of the new proposed algorithms. Numerical results show that the proposed algorithms are effective by comparing with the Polak and Ribiere algorithm.https://csmj.mosuljournals.com/article_163729_4070b8bf3c58e15113614b438bbb341a.pdfconjugate gradientquadratic model
collection DOAJ
language Arabic
format Article
sources DOAJ
author Basim Hassan
Hameed Sadiq
spellingShingle Basim Hassan
Hameed Sadiq
A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization
Al-Rafidain Journal of Computer Sciences and Mathematics
conjugate gradient
quadratic model
author_facet Basim Hassan
Hameed Sadiq
author_sort Basim Hassan
title A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization
title_short A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization
title_full A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization
title_fullStr A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization
title_full_unstemmed A Modified Class of Conjugate Gradient Algorithms Based on Quadratic Model for Nonlinear Unconstrained Optimization
title_sort modified class of conjugate gradient algorithms based on quadratic model for nonlinear unconstrained optimization
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2014-07-01
description In this paper, we have investigated a new class of conjugate gradient algorithms for unconstrained non-linear optimization which are based on the quadratic model. Some theoretical results are investigated which are sufficient descent and ensure the local convergence of the new proposed algorithms. Numerical results show that the proposed algorithms are effective by comparing with the Polak and Ribiere algorithm.
topic conjugate gradient
quadratic model
url https://csmj.mosuljournals.com/article_163729_4070b8bf3c58e15113614b438bbb341a.pdf
work_keys_str_mv AT basimhassan amodifiedclassofconjugategradientalgorithmsbasedonquadraticmodelfornonlinearunconstrainedoptimization
AT hameedsadiq amodifiedclassofconjugategradientalgorithmsbasedonquadraticmodelfornonlinearunconstrainedoptimization
AT basimhassan modifiedclassofconjugategradientalgorithmsbasedonquadraticmodelfornonlinearunconstrainedoptimization
AT hameedsadiq modifiedclassofconjugategradientalgorithmsbasedonquadraticmodelfornonlinearunconstrainedoptimization
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