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dc.contributor.authorGao, D.
dc.contributor.authorWu, Changzhi
dc.identifier.citationGao, 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.

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.titleOn the triality theory for a quartic polynomial optimization problem
dc.typeJournal Article
dcterms.source.titleJournal of Industrial and Management Optimization
curtin.departmentDepartment of Construction Management
curtin.accessStatusOpen access via publisher

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