An Inexact Dual Fast Gradient-Projection Method for Separable Convex Optimization with Linear Coupled Constraints
dc.contributor.author | Li, J. | |
dc.contributor.author | Wu, Z. | |
dc.contributor.author | Wu, Changzhi | |
dc.contributor.author | Long, Q. | |
dc.contributor.author | Wang, X. | |
dc.date.accessioned | 2017-01-30T13:54:44Z | |
dc.date.available | 2017-01-30T13:54:44Z | |
dc.date.created | 2015-10-29T04:09:04Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Li, J. and Wu, Z. and Wu, C. and Long, Q. and Wang, X. 2015. An Inexact Dual Fast Gradient-Projection Method for Separable Convex Optimization with Linear Coupled Constraints. Journal of Optimization Theory and Applications. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/36258 | |
dc.identifier.doi | 10.1007/s10957-015-0757-1 | |
dc.description.abstract |
© 2015 Springer Science+Business Media New York In this paper, a class of separable convex optimization problems with linear coupled constraints is studied. According to the Lagrangian duality, the linear coupled constraints are appended to the objective function. Then, a fast gradient-projection method is introduced to update the Lagrangian multiplier, and an inexact solution method is proposed to solve the inner problems. The advantage of our proposed method is that the inner problems can be solved in an inexact and parallel manner. The established convergence results show that our proposed algorithm still achieves optimal convergence rate even though the inner problems are solved inexactly. Finally, several numerical experiments are presented to illustrate the efficiency and effectiveness of our proposed algorithm. | |
dc.publisher | Springer New York LLC | |
dc.relation.sponsoredby | http://purl.org/au-research/grants/arc/LP130100451 | |
dc.title | An Inexact Dual Fast Gradient-Projection Method for Separable Convex Optimization with Linear Coupled Constraints | |
dc.type | Journal Article | |
dcterms.source.issn | 0022-3239 | |
dcterms.source.title | Journal of Optimization Theory and Applications | |
curtin.department | Department of Construction Management | |
curtin.accessStatus | Fulltext not available |
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