Convergence and Stability of Line Search Methods for Unconstrained Optimization
| dc.contributor.author | Leong, Wah | |
| dc.contributor.author | Goh, Bean | |
| dc.date.accessioned | 2017-01-30T12:02:05Z | |
| dc.date.available | 2017-01-30T12:02:05Z | |
| dc.date.created | 2014-03-23T20:00:51Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Leong, Wah and Goh, Bean. 2013. Convergence and Stability of Line Search Methods for Unconstrained Optimization. Acta Applicandae Mathematicae. 127: pp. 155-167. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/17464 | |
| dc.identifier.doi | 10.1007/s10440-012-9796-x | |
| dc.description.abstract |
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. | |
| dc.publisher | Springer | |
| dc.subject | Line search methods | |
| dc.subject | Lyapunov stability | |
| dc.subject | Globally asymptotical stability | |
| dc.subject | Global convergence | |
| dc.subject | Unconstrained optimization | |
| dc.title | Convergence and Stability of Line Search Methods for Unconstrained Optimization | |
| dc.type | Journal Article | |
| dcterms.source.volume | 127 | |
| dcterms.source.startPage | 155 | |
| dcterms.source.endPage | 167 | |
| dcterms.source.issn | 01678019 | |
| dcterms.source.title | Acta Applicandae Mathematicae | |
| curtin.department | Sarawak Campus, Miri, Malaysia | |
| curtin.accessStatus | Fulltext not available |