Convergence and stability of line search methods for unconstrained optimization.
This paper explores the stability of general line search methods in the sense of Lyapunov, for minimizing a smooth nonlinear function. In particular we give sufficient conditions for a line search method to be globally asymptotical stable. Our analysis suggests that the proposed sufficient condition...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Springer Verlag
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30004/ http://psasir.upm.edu.my/id/eprint/30004/1/Convergence%20and%20stability%20of%20line%20search%20methods%20for%20unconstrained%20optimization.pdf |
| _version_ | 1848846556222980096 |
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| author | Leong, Wah June Goh, Bean San |
| author_facet | Leong, Wah June Goh, Bean San |
| author_sort | Leong, Wah June |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper explores the stability of general line search methods in the sense of Lyapunov, for minimizing a smooth nonlinear function. In particular we give sufficient conditions for a line search method to be globally asymptotical stable. Our analysis suggests that the proposed sufficient conditions for asymptotical stability is equivalent to the Zoutendijk-type conditions in conventional global convergence analysis. |
| first_indexed | 2025-11-15T09:04:35Z |
| format | Article |
| id | upm-30004 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:04:35Z |
| publishDate | 2013 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-300042015-10-01T03:56:01Z http://psasir.upm.edu.my/id/eprint/30004/ Convergence and stability of line search methods for unconstrained optimization. Leong, Wah June Goh, Bean San This paper explores the stability of general line search methods in the sense of Lyapunov, for minimizing a smooth nonlinear function. In particular we give sufficient conditions for a line search method to be globally asymptotical stable. Our analysis suggests that the proposed sufficient conditions for asymptotical stability is equivalent to the Zoutendijk-type conditions in conventional global convergence analysis. Springer Verlag 2013-10 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30004/1/Convergence%20and%20stability%20of%20line%20search%20methods%20for%20unconstrained%20optimization.pdf Leong, Wah June and Goh, Bean San (2013) Convergence and stability of line search methods for unconstrained optimization. Acta Applicandae Mathematicae, 127 (1). pp. 155-167. ISSN 0167-8019; ESSN:1572-9036 10.1007/s10440-012-9796-x English |
| spellingShingle | Leong, Wah June Goh, Bean San Convergence and stability of line search methods for unconstrained optimization. |
| title | Convergence and stability of line search methods for unconstrained optimization. |
| title_full | Convergence and stability of line search methods for unconstrained optimization. |
| title_fullStr | Convergence and stability of line search methods for unconstrained optimization. |
| title_full_unstemmed | Convergence and stability of line search methods for unconstrained optimization. |
| title_short | Convergence and stability of line search methods for unconstrained optimization. |
| title_sort | convergence and stability of line search methods for unconstrained optimization. |
| url | http://psasir.upm.edu.my/id/eprint/30004/ http://psasir.upm.edu.my/id/eprint/30004/ http://psasir.upm.edu.my/id/eprint/30004/1/Convergence%20and%20stability%20of%20line%20search%20methods%20for%20unconstrained%20optimization.pdf |