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- Publisher Website: 10.1007/s10589-005-3909-7
- Scopus: eid_2-s2.0-33745698158
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Article: An improved extra-gradient method for minimizing a sum of p-norms - A variational inequality approach
| Title | An improved extra-gradient method for minimizing a sum of p-norms - A variational inequality approach |
|---|---|
| Authors | |
| Keywords | Sum of norms Variational inequality Steiner Minimum Trees Extra-gradient |
| Issue Date | 2006 |
| Citation | Computational Optimization and Applications, 2006, v. 34, n. 3, p. 321-341 How to Cite? |
| Abstract | This paper presents a variational inequality (VI) approach to the problem of minimizing a sum of p-norms. First the original problem is reformulated as an equivalent linear VI. Then an improved extra-gradient method is presented to solve the linear VI. Applications to the problem of p-norm Steiner Minimum Trees (SMT) shows that the proposed method is effective. Comparison with the general extra-gradient method is also provided to show the improvements of the new method. © 2006 Springer Science + Business Media, Inc. |
| Persistent Identifier | http://hdl.handle.net/10722/250911 |
| ISSN | 2021 Impact Factor: 2.005 2020 SCImago Journal Rankings: 1.028 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Yuan, Xiao Ming | - |
| dc.contributor.author | Zhou, Li | - |
| dc.date.accessioned | 2018-02-01T01:54:03Z | - |
| dc.date.available | 2018-02-01T01:54:03Z | - |
| dc.date.issued | 2006 | - |
| dc.identifier.citation | Computational Optimization and Applications, 2006, v. 34, n. 3, p. 321-341 | - |
| dc.identifier.issn | 0926-6003 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/250911 | - |
| dc.description.abstract | This paper presents a variational inequality (VI) approach to the problem of minimizing a sum of p-norms. First the original problem is reformulated as an equivalent linear VI. Then an improved extra-gradient method is presented to solve the linear VI. Applications to the problem of p-norm Steiner Minimum Trees (SMT) shows that the proposed method is effective. Comparison with the general extra-gradient method is also provided to show the improvements of the new method. © 2006 Springer Science + Business Media, Inc. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Computational Optimization and Applications | - |
| dc.subject | Sum of norms | - |
| dc.subject | Variational inequality | - |
| dc.subject | Steiner Minimum Trees | - |
| dc.subject | Extra-gradient | - |
| dc.title | An improved extra-gradient method for minimizing a sum of p-norms - A variational inequality approach | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s10589-005-3909-7 | - |
| dc.identifier.scopus | eid_2-s2.0-33745698158 | - |
| dc.identifier.volume | 34 | - |
| dc.identifier.issue | 3 | - |
| dc.identifier.spage | 321 | - |
| dc.identifier.epage | 341 | - |
| dc.identifier.eissn | 1573-2894 | - |
| dc.identifier.isi | WOS:000238740700002 | - |
| dc.identifier.issnl | 0926-6003 | - |