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- Publisher Website: 10.1016/j.cam.2007.02.032
- Scopus: eid_2-s2.0-38949168879
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Article: An improved Goldstein's type method for a class of variant variational inequalities
Title | An improved Goldstein's type method for a class of variant variational inequalities |
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Authors | |
Keywords | Descent method Goldstein's type method Variant variational inequalities |
Issue Date | 2008 |
Citation | Journal of Computational and Applied Mathematics, 2008, v. 214, n. 1, p. 304-312 How to Cite? |
Abstract | This paper aims at presenting an improved Goldstein's type method for a class of variant variational inequalities. In particular, the iterate computed by an existing Goldstein's type method [He, A Goldstein's type projection method for a class of variant variational inequalities J. Comput. Math. 17(4) (1999) 425-434]. is used to construct a des cent direction, and thus the new method generates the new iterate by searching the optimal step size along the descent direction. Some restrictions on the involving functions of the existing Goldstein's type methods are relaxed, while the global convergence of the new method is proved without additional assumptions. The computational superiority of the new method is verified by the comparison to some existing methods. © 2007 Elsevier B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/250861 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 0.858 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Min | - |
dc.contributor.author | Yuan, Xiao ming | - |
dc.date.accessioned | 2018-02-01T01:53:55Z | - |
dc.date.available | 2018-02-01T01:53:55Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Journal of Computational and Applied Mathematics, 2008, v. 214, n. 1, p. 304-312 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10722/250861 | - |
dc.description.abstract | This paper aims at presenting an improved Goldstein's type method for a class of variant variational inequalities. In particular, the iterate computed by an existing Goldstein's type method [He, A Goldstein's type projection method for a class of variant variational inequalities J. Comput. Math. 17(4) (1999) 425-434]. is used to construct a des cent direction, and thus the new method generates the new iterate by searching the optimal step size along the descent direction. Some restrictions on the involving functions of the existing Goldstein's type methods are relaxed, while the global convergence of the new method is proved without additional assumptions. The computational superiority of the new method is verified by the comparison to some existing methods. © 2007 Elsevier B.V. All rights reserved. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | - |
dc.subject | Descent method | - |
dc.subject | Goldstein's type method | - |
dc.subject | Variant variational inequalities | - |
dc.title | An improved Goldstein's type method for a class of variant variational inequalities | - |
dc.type | Article | - |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1016/j.cam.2007.02.032 | - |
dc.identifier.scopus | eid_2-s2.0-38949168879 | - |
dc.identifier.volume | 214 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 304 | - |
dc.identifier.epage | 312 | - |
dc.identifier.isi | WOS:000254213000024 | - |
dc.identifier.issnl | 0377-0427 | - |