A New Symmetric Rank One Algorithm for Unconstrained Optimization

A New Symmetric Rank One Algorithm for Unconstrained Optimization

In this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix. The new method is tested numerically by (7) nonlinear test functions and method is compared with the standard BFGS algorithm.     ...

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Bibliographic Details
Main Authors: Abbas Al-Bayati, Salah Shareef
Format: Article
Language:Arabic
Published: Mosul University 2011-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
unconstrained optimization
descent direction
qn-like condition
Online Access:https://csmj.mosuljournals.com/article_163637_e7691436373582ce6d143e691dd00ce2.pdf
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spelling doaj-4b667bd8ce0b470cb21dc46b05ad4c5e2020-11-25T04:09:59ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902011-12-0182131910.33899/csmj.2011.163637163637A New Symmetric Rank One Algorithm for Unconstrained OptimizationAbbas Al-Bayati0Salah Shareef1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Education University of ZahkoIn this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix. The new method is tested numerically by (7) nonlinear test functions and method is compared with the standard BFGS algorithm.             The new matrix used is symmetric and positive definite and it generates descent directions and satisfied QN-like condition.https://csmj.mosuljournals.com/article_163637_e7691436373582ce6d143e691dd00ce2.pdfunconstrained optimizationdescent directionqn-like condition
collection DOAJ
language Arabic
format Article
sources DOAJ
author Abbas Al-Bayati
Salah Shareef
spellingShingle Abbas Al-Bayati
Salah Shareef
A New Symmetric Rank One Algorithm for Unconstrained Optimization
Al-Rafidain Journal of Computer Sciences and Mathematics
unconstrained optimization
descent direction
qn-like condition
author_facet Abbas Al-Bayati
Salah Shareef
author_sort Abbas Al-Bayati
title A New Symmetric Rank One Algorithm for Unconstrained Optimization
title_short A New Symmetric Rank One Algorithm for Unconstrained Optimization
title_full A New Symmetric Rank One Algorithm for Unconstrained Optimization
title_fullStr A New Symmetric Rank One Algorithm for Unconstrained Optimization
title_full_unstemmed A New Symmetric Rank One Algorithm for Unconstrained Optimization
title_sort new symmetric rank one algorithm for unconstrained optimization
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2011-12-01
description In this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix. The new method is tested numerically by (7) nonlinear test functions and method is compared with the standard BFGS algorithm.             The new matrix used is symmetric and positive definite and it generates descent directions and satisfied QN-like condition.
topic unconstrained optimization
descent direction
qn-like condition
url https://csmj.mosuljournals.com/article_163637_e7691436373582ce6d143e691dd00ce2.pdf
work_keys_str_mv AT abbasalbayati anewsymmetricrankonealgorithmforunconstrainedoptimization
AT salahshareef anewsymmetricrankonealgorithmforunconstrainedoptimization
AT abbasalbayati newsymmetricrankonealgorithmforunconstrainedoptimization
AT salahshareef newsymmetricrankonealgorithmforunconstrainedoptimization
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