Modified shifted variable metric algorithms for solving unconstrained minimization problems

Abstract<br /> In this paper, we propose a modified version of the shifted VM algorithms where the matrices have the form where and are symmetric positive semi definite matrices, usually , is obtained from to satisfy the shifted modified quasi-Newton condition ,we consider our new QN-condition...

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Main Authors: Abbas Y. AL-Bayati, Basim A. Hassan
Format: Article
Language:Arabic
Published: College of Education for Pure Sciences 2010-09-01
Series:مجلة التربية والعلم
Subjects:
Online Access:https://edusj.mosuljournals.com/article_58398_cf1ac2c0b826206cf11396b1228a300e.pdf
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author Abbas Y. AL-Bayati
Basim A. Hassan
author_facet Abbas Y. AL-Bayati
Basim A. Hassan
author_sort Abbas Y. AL-Bayati
collection DOAJ
description Abstract<br /> In this paper, we propose a modified version of the shifted VM algorithms where the matrices have the form where and are symmetric positive semi definite matrices, usually , is obtained from to satisfy the shifted modified quasi-Newton condition ,we consider our new QN-condition the form , where , and we derive of the modified algorithms.<br /> Experimental results indicate that the new proposed algorithms were efficient than the both standard BFGS & the shifted BFGS- algorithms.
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spelling doaj.art-b8248872ff904959b98b707c4b4ec1552022-12-22T00:35:39ZaraCollege of Education for Pure Sciencesمجلة التربية والعلم1812-125X2664-25302010-09-01233709210.33899/edusj.2010.5839858398Modified shifted variable metric algorithms for solving unconstrained minimization problemsAbbas Y. AL-BayatiBasim A. HassanAbstract<br /> In this paper, we propose a modified version of the shifted VM algorithms where the matrices have the form where and are symmetric positive semi definite matrices, usually , is obtained from to satisfy the shifted modified quasi-Newton condition ,we consider our new QN-condition the form , where , and we derive of the modified algorithms.<br /> Experimental results indicate that the new proposed algorithms were efficient than the both standard BFGS & the shifted BFGS- algorithms.https://edusj.mosuljournals.com/article_58398_cf1ac2c0b826206cf11396b1228a300e.pdfvariable metric algorithmssolving unconstrained minimizationnew qn-condition
spellingShingle Abbas Y. AL-Bayati
Basim A. Hassan
Modified shifted variable metric algorithms for solving unconstrained minimization problems
مجلة التربية والعلم
variable metric algorithms
solving unconstrained minimization
new qn-condition
title Modified shifted variable metric algorithms for solving unconstrained minimization problems
title_full Modified shifted variable metric algorithms for solving unconstrained minimization problems
title_fullStr Modified shifted variable metric algorithms for solving unconstrained minimization problems
title_full_unstemmed Modified shifted variable metric algorithms for solving unconstrained minimization problems
title_short Modified shifted variable metric algorithms for solving unconstrained minimization problems
title_sort modified shifted variable metric algorithms for solving unconstrained minimization problems
topic variable metric algorithms
solving unconstrained minimization
new qn-condition
url https://edusj.mosuljournals.com/article_58398_cf1ac2c0b826206cf11396b1228a300e.pdf
work_keys_str_mv AT abbasyalbayati modifiedshiftedvariablemetricalgorithmsforsolvingunconstrainedminimizationproblems
AT basimahassan modifiedshiftedvariablemetricalgorithmsforsolvingunconstrainedminimizationproblems