New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theorem

In this paper we present new conjugate gradient method for computing the minimum value of differentiable real valued function in n variables ,this method derived from Nazareth theorem , which uses the equivalence of CG and Qusi–Newton methods on quadratic function also the descent property and Con...

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Main Author: Khalil . K. Abbo
Format: Article
Language:Arabic
Published: College of Computer Science and Mathematics, University of Mosul 2008-06-01
Series:المجلة العراقية للعلوم الاحصائية
Online Access:https://stats.mosuljournals.com/article_31676_b2baefefda18e18e4340f610b0e88416.pdf
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author Khalil . K. Abbo
author_facet Khalil . K. Abbo
author_sort Khalil . K. Abbo
collection DOAJ
description In this paper we present new conjugate gradient method for computing the minimum value of differentiable real valued function in n variables ,this method derived from Nazareth theorem , which uses the equivalence of CG and Qusi–Newton methods on quadratic function also the descent property and Conjucy conditions are proved and compared with some well know CG method showing considerable improvement .
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spelling doaj.art-8d60b0825c7942c0960c602932a046292022-12-22T02:32:02ZaraCollege of Computer Science and Mathematics, University of Mosulالمجلة العراقية للعلوم الاحصائية1680-855X2664-29562008-06-0181536510.33899/iqjoss.2008.3167631676New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theoremKhalil . K. AbboIn this paper we present new conjugate gradient method for computing the minimum value of differentiable real valued function in n variables ,this method derived from Nazareth theorem , which uses the equivalence of CG and Qusi–Newton methods on quadratic function also the descent property and Conjucy conditions are proved and compared with some well know CG method showing considerable improvement .https://stats.mosuljournals.com/article_31676_b2baefefda18e18e4340f610b0e88416.pdf
spellingShingle Khalil . K. Abbo
New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theorem
المجلة العراقية للعلوم الاحصائية
title New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theorem
title_full New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theorem
title_fullStr New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theorem
title_full_unstemmed New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theorem
title_short New CG Method for Large-Scale Unconstrained Optimization Based on Nazareth theorem
title_sort new cg method for large scale unconstrained optimization based on nazareth theorem
url https://stats.mosuljournals.com/article_31676_b2baefefda18e18e4340f610b0e88416.pdf
work_keys_str_mv AT khalilkabbo newcgmethodforlargescaleunconstrainedoptimizationbasedonnazareththeorem