A new family of multi-step quasi-Newton algorithms for unconstrained optimization
This work aims at ensuring smoothness of interpolation in both the iterate and the gradient spaces in the so-called multi-step quasi-Newton methods. It concentrates on deriving a variable-metric family of minimum curvature algorithms for unconstrained optimization. The derivation is based on conside...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
1999
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/2698 https://www.researchgate.net/publication/268018303_A_new_family_of_multi-step_quasi-Newton_algorithms_for_unconstrained_optimization |
| الوسوم: |
إضافة وسم
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| _version_ | 1864513459086950400 |
|---|---|
| author | Obeid, Samir |
| author2 | Moghrabi, I.A.R. |
| author2_role | author |
| author_facet | Obeid, Samir Moghrabi, I.A.R. |
| author_role | author |
| dc.creator.none.fl_str_mv | Obeid, Samir Moghrabi, I.A.R. |
| dc.date.none.fl_str_mv | 1999 2015-11-27T09:21:59Z 2015-11-27T09:21:59Z 2015-11-27 |
| dc.identifier.none.fl_str_mv | 1027-9350 http://hdl.handle.net/10725/2698 Moghrabi, I. A. R., & Obeid, S. Y. (1999). A NEW FAMILY OF MULTI-STEP QUASI-NEWTON ALGORITHMS FOR UNCONSTRAINED OPTIMIZATION. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS, 1(1), 67-74. https://www.researchgate.net/publication/268018303_A_new_family_of_multi-step_quasi-Newton_algorithms_for_unconstrained_optimization |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | International Journal of Math Algorithms |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A new family of multi-step quasi-Newton algorithms for unconstrained optimization |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | This work aims at ensuring smoothness of interpolation in both the iterate and the gradient spaces in the so-called multi-step quasi-Newton methods. It concentrates on deriving a variable-metric family of minimum curvature algorithms for unconstrained optimization. The derivation is based on considering a rational model, with a certain tuning parameter, where the aim is to develop a general framework that encompasses all possible two-step minimum curvature algorithms generated by appropriate parameter choices. One member of the family is tested against earlier developed algorithms of the multi-step type. Performance improvement is evident in our presented results, thus verifying the importance of the minimum curvature framework |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_02cda1c83e14a6dccaff8ad7f62af050 |
| identifier_str_mv | 1027-9350 Moghrabi, I. A. R., & Obeid, S. Y. (1999). A NEW FAMILY OF MULTI-STEP QUASI-NEWTON ALGORITHMS FOR UNCONSTRAINED OPTIMIZATION. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS, 1(1), 67-74. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/2698 |
| publishDate | 1999 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A new family of multi-step quasi-Newton algorithms for unconstrained optimizationObeid, SamirMoghrabi, I.A.R.This work aims at ensuring smoothness of interpolation in both the iterate and the gradient spaces in the so-called multi-step quasi-Newton methods. It concentrates on deriving a variable-metric family of minimum curvature algorithms for unconstrained optimization. The derivation is based on considering a rational model, with a certain tuning parameter, where the aim is to develop a general framework that encompasses all possible two-step minimum curvature algorithms generated by appropriate parameter choices. One member of the family is tested against earlier developed algorithms of the multi-step type. Performance improvement is evident in our presented results, thus verifying the importance of the minimum curvature frameworkPublishedN/A2015-11-27T09:21:59Z2015-11-27T09:21:59Z19992015-11-27Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1027-9350http://hdl.handle.net/10725/2698Moghrabi, I. A. R., & Obeid, S. Y. (1999). A NEW FAMILY OF MULTI-STEP QUASI-NEWTON ALGORITHMS FOR UNCONSTRAINED OPTIMIZATION. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS, 1(1), 67-74.https://www.researchgate.net/publication/268018303_A_new_family_of_multi-step_quasi-Newton_algorithms_for_unconstrained_optimizationenInternational Journal of Math Algorithmsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/26982020-05-24T10:27:37Z |
| spellingShingle | A new family of multi-step quasi-Newton algorithms for unconstrained optimization Obeid, Samir |
| status_str | publishedVersion |
| title | A new family of multi-step quasi-Newton algorithms for unconstrained optimization |
| title_full | A new family of multi-step quasi-Newton algorithms for unconstrained optimization |
| title_fullStr | A new family of multi-step quasi-Newton algorithms for unconstrained optimization |
| title_full_unstemmed | A new family of multi-step quasi-Newton algorithms for unconstrained optimization |
| title_short | A new family of multi-step quasi-Newton algorithms for unconstrained optimization |
| title_sort | A new family of multi-step quasi-Newton algorithms for unconstrained optimization |
| url | http://hdl.handle.net/10725/2698 https://www.researchgate.net/publication/268018303_A_new_family_of_multi-step_quasi-Newton_algorithms_for_unconstrained_optimization |