A new minimum curvator multi-step method for unconstrained optimization
Multistep quasi-Newton methods for optimization were derived by J. A. Ford and I. A. Moghrabi [J. Comput. Appl. Math. 50, No. 1-3, 305-323 (1994; Zbl 0807.65062)], where it was shown how an interpolation in the variable-space could be used to generate “better” Hessian approximations. The work presen...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | conferenceObject |
| منشور في: |
1998
|
| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/8066 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://books.google.com.lb/books?hl=en&lr=&id=GyWhTtLf4-wC&oi=fnd&pg=PA319&dq=A+new+minimum+curvator+multi-step+method+for+unconstrained+optimization&ots=id6W8WnguM&sig=1Oxmn4g5PaYGfxcg5VLnsW8Di00&redir_esc=y#v=onepage&q=A%20new%20minimum%20curvator%20multi-step%20method%20for%20unconstrained%20optimization&f=false |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513483829149696 |
|---|---|
| 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 | 1998 2018-06-20T07:46:45Z 2018-06-20T07:46:45Z 2018-06-20 |
| dc.identifier.none.fl_str_mv | 90-6764-279-7 http://hdl.handle.net/10725/8066 MOGHRABI, I., & OBEID, S. (1998). A New Minimum Curvature Multi-Step Method for Unconstrained Optimization. In Proceedings of the Eighth International Colloquium on Differential Equations: Plovdiv, Bulgaria, 18-23 August, 1997 (Vol. 6, p. 319). Vsp. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://books.google.com.lb/books?hl=en&lr=&id=GyWhTtLf4-wC&oi=fnd&pg=PA319&dq=A+new+minimum+curvator+multi-step+method+for+unconstrained+optimization&ots=id6W8WnguM&sig=1Oxmn4g5PaYGfxcg5VLnsW8Di00&redir_esc=y#v=onepage&q=A%20new%20minimum%20curvator%20multi-step%20method%20for%20unconstrained%20optimization&f=false |
| dc.language.none.fl_str_mv | en |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A new minimum curvator multi-step method for unconstrained optimization |
| dc.type.none.fl_str_mv | Conference Paper / Proceeding info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/conferenceObject |
| description | Multistep quasi-Newton methods for optimization were derived by J. A. Ford and I. A. Moghrabi [J. Comput. Appl. Math. 50, No. 1-3, 305-323 (1994; Zbl 0807.65062)], where it was shown how an interpolation in the variable-space could be used to generate “better” Hessian approximations. The work presented by J. A. Ford and I. A. Moghrabi [Comput. Math. Appl. 31, No. 4-5, 179-186 (1996; Zbl 0874.65046)] concentrated a choice of the curve parameters that ensure a “smooth” interpolation. In this paper, we carry on with a similar idea and define a rational model with a free parameter. Our derivation of the new algorithm is based on determining some value of the parameter that minimizes the curvature in some chosen metric. It is shown how such value can be “cheaply” calculated at each iteration. Numerical comparison between the new algorithm and other multistep algorithms reveal the merits of the new approach. |
| eu_rights_str_mv | openAccess |
| format | conferenceObject |
| id | LAURepo_ae6e70d642215f8a68d22f984d2fadc8 |
| identifier_str_mv | 90-6764-279-7 MOGHRABI, I., & OBEID, S. (1998). A New Minimum Curvature Multi-Step Method for Unconstrained Optimization. In Proceedings of the Eighth International Colloquium on Differential Equations: Plovdiv, Bulgaria, 18-23 August, 1997 (Vol. 6, p. 319). Vsp. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/8066 |
| publishDate | 1998 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A new minimum curvator multi-step method for unconstrained optimizationObeid, SamirMoghrabi, I.A.R.Multistep quasi-Newton methods for optimization were derived by J. A. Ford and I. A. Moghrabi [J. Comput. Appl. Math. 50, No. 1-3, 305-323 (1994; Zbl 0807.65062)], where it was shown how an interpolation in the variable-space could be used to generate “better” Hessian approximations. The work presented by J. A. Ford and I. A. Moghrabi [Comput. Math. Appl. 31, No. 4-5, 179-186 (1996; Zbl 0874.65046)] concentrated a choice of the curve parameters that ensure a “smooth” interpolation. In this paper, we carry on with a similar idea and define a rational model with a free parameter. Our derivation of the new algorithm is based on determining some value of the parameter that minimizes the curvature in some chosen metric. It is shown how such value can be “cheaply” calculated at each iteration. Numerical comparison between the new algorithm and other multistep algorithms reveal the merits of the new approach.N/A2018-06-20T07:46:45Z2018-06-20T07:46:45Z19982018-06-20Conference Paper / Proceedinginfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject90-6764-279-7http://hdl.handle.net/10725/8066MOGHRABI, I., & OBEID, S. (1998). A New Minimum Curvature Multi-Step Method for Unconstrained Optimization. In Proceedings of the Eighth International Colloquium on Differential Equations: Plovdiv, Bulgaria, 18-23 August, 1997 (Vol. 6, p. 319). Vsp.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://books.google.com.lb/books?hl=en&lr=&id=GyWhTtLf4-wC&oi=fnd&pg=PA319&dq=A+new+minimum+curvator+multi-step+method+for+unconstrained+optimization&ots=id6W8WnguM&sig=1Oxmn4g5PaYGfxcg5VLnsW8Di00&redir_esc=y#v=onepage&q=A%20new%20minimum%20curvator%20multi-step%20method%20for%20unconstrained%20optimization&f=falseeninfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/80662021-03-19T10:43:08Z |
| spellingShingle | A new minimum curvator multi-step method for unconstrained optimization Obeid, Samir |
| status_str | publishedVersion |
| title | A new minimum curvator multi-step method for unconstrained optimization |
| title_full | A new minimum curvator multi-step method for unconstrained optimization |
| title_fullStr | A new minimum curvator multi-step method for unconstrained optimization |
| title_full_unstemmed | A new minimum curvator multi-step method for unconstrained optimization |
| title_short | A new minimum curvator multi-step method for unconstrained optimization |
| title_sort | A new minimum curvator multi-step method for unconstrained optimization |
| url | http://hdl.handle.net/10725/8066 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://books.google.com.lb/books?hl=en&lr=&id=GyWhTtLf4-wC&oi=fnd&pg=PA319&dq=A+new+minimum+curvator+multi-step+method+for+unconstrained+optimization&ots=id6W8WnguM&sig=1Oxmn4g5PaYGfxcg5VLnsW8Di00&redir_esc=y#v=onepage&q=A%20new%20minimum%20curvator%20multi-step%20method%20for%20unconstrained%20optimization&f=false |