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- Publisher Website: 10.1007/s10957-014-0567-x
- Scopus: eid_2-s2.0-84939889767
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Article: Convergence Analysis of the Generalized Alternating Direction Method of Multipliers with LogarithmicâQuadratic Proximal Regularization
Title | Convergence Analysis of the Generalized Alternating Direction Method of Multipliers with LogarithmicâQuadratic Proximal Regularization |
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Authors | |
Keywords | Logarithmicâquadratic proximal method Variational inequality Generalized alternating direction method of multipliers Convergence rate |
Issue Date | 2014 |
Citation | Journal of Optimization Theory and Applications, 2014, v. 164, n. 1, p. 218-233 How to Cite? |
Abstract | © 2014, Springer Science+Business Media New York. We consider combining the generalized alternating direction method of multipliers, proposed by Eckstein and Bertsekas, with the logarithmicâquadratic proximal method proposed by Auslender, Teboulle, and Ben-Tiba for solving a variational inequality with separable structures. For the derived algorithm, we prove its global convergence and establish its worst-case convergence rate measured by the iteration complexity in both the ergodic and nonergodic senses. |
Persistent Identifier | http://hdl.handle.net/10722/251120 |
ISSN | 2023 Impact Factor: 1.6 2023 SCImago Journal Rankings: 0.864 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Min | - |
dc.contributor.author | Li, Xinxin | - |
dc.contributor.author | Yuan, Xiaoming | - |
dc.date.accessioned | 2018-02-01T01:54:39Z | - |
dc.date.available | 2018-02-01T01:54:39Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Journal of Optimization Theory and Applications, 2014, v. 164, n. 1, p. 218-233 | - |
dc.identifier.issn | 0022-3239 | - |
dc.identifier.uri | http://hdl.handle.net/10722/251120 | - |
dc.description.abstract | © 2014, Springer Science+Business Media New York. We consider combining the generalized alternating direction method of multipliers, proposed by Eckstein and Bertsekas, with the logarithmicâquadratic proximal method proposed by Auslender, Teboulle, and Ben-Tiba for solving a variational inequality with separable structures. For the derived algorithm, we prove its global convergence and establish its worst-case convergence rate measured by the iteration complexity in both the ergodic and nonergodic senses. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Optimization Theory and Applications | - |
dc.subject | Logarithmicâquadratic proximal method | - |
dc.subject | Variational inequality | - |
dc.subject | Generalized alternating direction method of multipliers | - |
dc.subject | Convergence rate | - |
dc.title | Convergence Analysis of the Generalized Alternating Direction Method of Multipliers with LogarithmicâQuadratic Proximal Regularization | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s10957-014-0567-x | - |
dc.identifier.scopus | eid_2-s2.0-84939889767 | - |
dc.identifier.volume | 164 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 218 | - |
dc.identifier.epage | 233 | - |
dc.identifier.eissn | 1573-2878 | - |
dc.identifier.isi | WOS:000347771900011 | - |
dc.identifier.issnl | 0022-3239 | - |