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- Publisher Website: 10.1016/j.mcm.2005.04.007
- Scopus: eid_2-s2.0-28844506079
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Article: The improvement with relative errors of He et al.'s inexact alternating direction method for monotone variational inequalities
| Title | The improvement with relative errors of He et al.'s inexact alternating direction method for monotone variational inequalities |
|---|---|
| Authors | |
| Keywords | Alternating direction method Relative error Proximal point method Monotone variational inequalities Inexact criterion |
| Issue Date | 2005 |
| Citation | Mathematical and Computer Modelling, 2005, v. 42, n. 11-12, p. 1225-1236 How to Cite? |
| Abstract | The proximal alternating direction method (PADM) solves a kind of structured monotone variational inequalities (VI) via solving a series of lower-dimensional and strongly monotone sub-VIs. We present a new inexact PADM which solves the involved sub-VIs approximately. The new criteria for solving the involved sub-VIs approximately are relaxed than those presented by He et al. [1]. In addition, the new criteria make use of the relative errors of each iteration instead of the absolute errors to control the accuracy of the inexact solutions of the sub-VIs. © 2005 Elsevier Ltd. All rights reserved. |
| Persistent Identifier | http://hdl.handle.net/10722/250905 |
| ISSN | 2015 Impact Factor: 1.366 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Yuan, Xiao Ming | - |
| dc.date.accessioned | 2018-02-01T01:54:02Z | - |
| dc.date.available | 2018-02-01T01:54:02Z | - |
| dc.date.issued | 2005 | - |
| dc.identifier.citation | Mathematical and Computer Modelling, 2005, v. 42, n. 11-12, p. 1225-1236 | - |
| dc.identifier.issn | 0895-7177 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/250905 | - |
| dc.description.abstract | The proximal alternating direction method (PADM) solves a kind of structured monotone variational inequalities (VI) via solving a series of lower-dimensional and strongly monotone sub-VIs. We present a new inexact PADM which solves the involved sub-VIs approximately. The new criteria for solving the involved sub-VIs approximately are relaxed than those presented by He et al. [1]. In addition, the new criteria make use of the relative errors of each iteration instead of the absolute errors to control the accuracy of the inexact solutions of the sub-VIs. © 2005 Elsevier Ltd. All rights reserved. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Mathematical and Computer Modelling | - |
| dc.subject | Alternating direction method | - |
| dc.subject | Relative error | - |
| dc.subject | Proximal point method | - |
| dc.subject | Monotone variational inequalities | - |
| dc.subject | Inexact criterion | - |
| dc.title | The improvement with relative errors of He et al.'s inexact alternating direction method for monotone variational inequalities | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.mcm.2005.04.007 | - |
| dc.identifier.scopus | eid_2-s2.0-28844506079 | - |
| dc.identifier.volume | 42 | - |
| dc.identifier.issue | 11-12 | - |
| dc.identifier.spage | 1225 | - |
| dc.identifier.epage | 1236 | - |
| dc.identifier.isi | WOS:000234071300005 | - |
| dc.identifier.issnl | 0895-7177 | - |