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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Format: | Article |
Language: | Arabic |
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College of Education for Pure Sciences
2010-09-01
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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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format | Article |
id | doaj.art-b8248872ff904959b98b707c4b4ec155 |
institution | Directory Open Access Journal |
issn | 1812-125X 2664-2530 |
language | Arabic |
last_indexed | 2024-12-12T05:52:06Z |
publishDate | 2010-09-01 |
publisher | College of Education for Pure Sciences |
record_format | Article |
series | مجلة التربية والعلم |
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 |