A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization
The recent measure function of Byrd and Nocedal [3] is considered and simple proofs of some its properties are given. It is then shown that the AL-Bayati (1991) formulae satisfy a least change property with respect to this new measure .The new formula has any extended positive definite matrix of Bro...
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| Format: | Article |
| Language: | English |
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Mosul University
2005-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_164082_1109c68f8c0fe29980f4a942a4ea5a7c.pdf |
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| _version_ | 1849738313595879424 |
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| author | Basim Hassan |
| author_facet | Basim Hassan |
| author_sort | Basim Hassan |
| collection | DOAJ |
| description | The recent measure function of Byrd and Nocedal [3] is considered and simple proofs of some its properties are given. It is then shown that the AL-Bayati (1991) formulae satisfy a least change property with respect to this new measure .The new formula has any extended positive definite matrix of Brouden Type-Updates. |
| format | Article |
| id | doaj-art-2349beda080e46c88636bfecbc8e093c |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2005-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-2349beda080e46c88636bfecbc8e093c2025-08-20T03:06:39ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902005-12-0122414610.33899/csmj.2005.164082164082A New Theoretical Result for Quasi-Newton Formulae for Unconstrained OptimizationBasim Hassan0College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqThe recent measure function of Byrd and Nocedal [3] is considered and simple proofs of some its properties are given. It is then shown that the AL-Bayati (1991) formulae satisfy a least change property with respect to this new measure .The new formula has any extended positive definite matrix of Brouden Type-Updates.https://csmj.mosuljournals.com/article_164082_1109c68f8c0fe29980f4a942a4ea5a7c.pdfquasi-newton methodsome theoretical result for quasi-newton formulae |
| spellingShingle | Basim Hassan A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization Al-Rafidain Journal of Computer Sciences and Mathematics quasi-newton method some theoretical result for quasi-newton formulae |
| title | A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization |
| title_full | A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization |
| title_fullStr | A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization |
| title_full_unstemmed | A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization |
| title_short | A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization |
| title_sort | new theoretical result for quasi newton formulae for unconstrained optimization |
| topic | quasi-newton method some theoretical result for quasi-newton formulae |
| url | https://csmj.mosuljournals.com/article_164082_1109c68f8c0fe29980f4a942a4ea5a7c.pdf |
| work_keys_str_mv | AT basimhassan anewtheoreticalresultforquasinewtonformulaeforunconstrainedoptimization AT basimhassan newtheoreticalresultforquasinewtonformulaeforunconstrainedoptimization |