New low storage VM-algorithm for constrained optimization
In this paper a new low-storage VM-algorithm for constrained optimization is investigated both theoretically and experimentally. The new algorithm is based on both the well-known Fletcher's low storage algorithm which generates columns Z spanned on the gradient vectors g1, g2, ... gn and the i...
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| Format: | Article |
| Language: | English |
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Mosul University
2009-09-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163817_6a13c0a173b9ebcf371f9ca07b814280.pdf |
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| _version_ | 1849323028578566144 |
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| author | Abbas Al-Bayati Hamsa Chilmerane |
| author_facet | Abbas Al-Bayati Hamsa Chilmerane |
| author_sort | Abbas Al-Bayati |
| collection | DOAJ |
| description | In this paper a new low-storage VM-algorithm for constrained optimization is investigated both theoretically and experimentally. The new algorithm is based on both the well-known Fletcher's low storage algorithm which generates columns Z spanned on the gradient vectors g1, g2, ... gn and the idea of both Buckley and LeNir of combined variable storage-conjugate gradient method. The well-known SUMT algorithm is adapted to implement the new idea. The new algorithm is very robust compared with the standard low-storage Fletcher algorithm and the standard SUMT algorithm which was designed for solving constrained problems, of the <em> </em> numerical results of application very promising. |
| format | Article |
| id | doaj-art-aff3d20ebd3947fb8717655247d82c56 |
| institution | Kabale University |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2009-09-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-aff3d20ebd3947fb8717655247d82c562025-08-20T03:49:12ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902009-09-0163111910.33899/csmj.2009.163817163817New low storage VM-algorithm for constrained optimizationAbbas Al-Bayati0Hamsa Chilmerane1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics, College of Computers Sciences and Mathematics University of Mosul, IRAQIn this paper a new low-storage VM-algorithm for constrained optimization is investigated both theoretically and experimentally. The new algorithm is based on both the well-known Fletcher's low storage algorithm which generates columns Z spanned on the gradient vectors g1, g2, ... gn and the idea of both Buckley and LeNir of combined variable storage-conjugate gradient method. The well-known SUMT algorithm is adapted to implement the new idea. The new algorithm is very robust compared with the standard low-storage Fletcher algorithm and the standard SUMT algorithm which was designed for solving constrained problems, of the <em> </em> numerical results of application very promising.https://csmj.mosuljournals.com/article_163817_6a13c0a173b9ebcf371f9ca07b814280.pdfconstrainedlow storagesumt |
| spellingShingle | Abbas Al-Bayati Hamsa Chilmerane New low storage VM-algorithm for constrained optimization Al-Rafidain Journal of Computer Sciences and Mathematics constrained low storage sumt |
| title | New low storage VM-algorithm for constrained optimization |
| title_full | New low storage VM-algorithm for constrained optimization |
| title_fullStr | New low storage VM-algorithm for constrained optimization |
| title_full_unstemmed | New low storage VM-algorithm for constrained optimization |
| title_short | New low storage VM-algorithm for constrained optimization |
| title_sort | new low storage vm algorithm for constrained optimization |
| topic | constrained low storage sumt |
| url | https://csmj.mosuljournals.com/article_163817_6a13c0a173b9ebcf371f9ca07b814280.pdf |
| work_keys_str_mv | AT abbasalbayati newlowstoragevmalgorithmforconstrainedoptimization AT hamsachilmerane newlowstoragevmalgorithmforconstrainedoptimization |