Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms
This paper explores the continuous realizations of iterative processes emanating from interior point optimization algorithms, and their connection with nonlinear singularly-perturbed ordinary differential equations. This mathematical connection provides a theoretical framework for the analysis of th...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | , |
| التنسيق: | article |
| منشور في: |
1995
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://eprints.kfupm.edu.sa/id/eprint/14207/1/14207_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14207/2/14207_2.doc |
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| _version_ | 1864513402758496256 |
|---|---|
| author | Ezzine, J. |
| author2 | Ben-Daya, M. unknown |
| author2_role | author author |
| author_facet | Ezzine, J. Ben-Daya, M. unknown |
| author_role | author |
| dc.creator.none.fl_str_mv | Ezzine, J. Ben-Daya, M. unknown |
| dc.date.none.fl_str_mv | 1995-06 2020 |
| dc.format.none.fl_str_mv | application/pdf application/msword |
| dc.identifier.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/14207/1/14207_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14207/2/14207_2.doc (1995) Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms. American Control Conference, 1995. Proceedings of the, 3. |
| dc.language.none.fl_str_mv | en en |
| dc.publisher.none.fl_str_mv | IEEE |
| dc.relation.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/14207/ |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Computer |
| dc.title.none.fl_str_mv | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms |
| dc.type.none.fl_str_mv | Article PeerReviewed info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | This paper explores the continuous realizations of iterative processes emanating from interior point optimization algorithms, and their connection with nonlinear singularly-perturbed ordinary differential equations. This mathematical connection provides a theoretical framework for the analysis of the dynamical properties long known and exploited in interior point-based optimization techniques. In addition, this connection is used to show that the logarithmic barrier function is indeed, in some sense, optimum |
| eu_rights_str_mv | openAccess |
| format | article |
| id | KFUPM_a17f9701267de25a388036e29743bbdc |
| identifier_str_mv | (1995) Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms. American Control Conference, 1995. Proceedings of the, 3. |
| language_invalid_str_mv | en |
| network_acronym_str | KFUPM |
| network_name_str | King Fahd University of Petroleum and Minerals |
| oai_identifier_str | oai::14207 |
| publishDate | 1995 |
| publisher.none.fl_str_mv | IEEE |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithmsEzzine, J.Ben-Daya, M.unknownComputerThis paper explores the continuous realizations of iterative processes emanating from interior point optimization algorithms, and their connection with nonlinear singularly-perturbed ordinary differential equations. This mathematical connection provides a theoretical framework for the analysis of the dynamical properties long known and exploited in interior point-based optimization techniques. In addition, this connection is used to show that the logarithmic barrier function is indeed, in some sense, optimumIEEE1995-062020ArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/mswordhttps://eprints.kfupm.edu.sa/id/eprint/14207/1/14207_1.pdfhttps://eprints.kfupm.edu.sa/id/eprint/14207/2/14207_2.doc (1995) Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms. American Control Conference, 1995. Proceedings of the, 3. enenhttps://eprints.kfupm.edu.sa/id/eprint/14207/info:eu-repo/semantics/openAccessoai::142072019-11-01T14:04:43Z |
| spellingShingle | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms Ezzine, J. Computer |
| status_str | publishedVersion |
| title | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms |
| title_full | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms |
| title_fullStr | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms |
| title_full_unstemmed | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms |
| title_short | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms |
| title_sort | Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms |
| topic | Computer |
| url | https://eprints.kfupm.edu.sa/id/eprint/14207/1/14207_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14207/2/14207_2.doc |