On the triality theory for a quartic polynomial optimization problem
dc.contributor.author | Gao, D. | |
dc.contributor.author | Wu, Changzhi | |
dc.date.accessioned | 2017-01-30T14:35:24Z | |
dc.date.available | 2017-01-30T14:35:24Z | |
dc.date.created | 2015-10-29T04:09:04Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Gao, D. and Wu, C. 2012. On the triality theory for a quartic polynomial optimization problem. Journal of Industrial and Management Optimization. 8 (1): pp. 229-242. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/39610 | |
dc.identifier.doi | 10.3934/jimo.2012.8.229 | |
dc.description.abstract |
This paper presents a detailed proof of the triality theorem for a class of fourth-order polynomial optimization problems. The method is based on linear algebra but it solves an open problem on the double-min duality. Results show that the triality theory holds strongly in the tri-duality form for our problem if the primal problem and its canonical dual have the same dimension; otherwise, both the canonical min-max duality and the double-max duality still hold strongly, but the double-min duality holds weakly in a symmetrical form. Some numerical examples are presented to illustrate that this theory can be used to identify not only the global minimum, but also the local minimum and local maximum. | |
dc.title | On the triality theory for a quartic polynomial optimization problem | |
dc.type | Journal Article | |
dcterms.source.volume | 8 | |
dcterms.source.number | 1 | |
dcterms.source.startPage | 229 | |
dcterms.source.endPage | 242 | |
dcterms.source.issn | 1547-5816 | |
dcterms.source.title | Journal of Industrial and Management Optimization | |
curtin.department | Department of Construction Management | |
curtin.accessStatus | Open access via publisher |
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