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dc.contributor.authorWan, Z.
dc.contributor.authorWu, S.
dc.contributor.authorTeo, Kok
dc.date.accessioned2017-01-30T13:55:04Z
dc.date.available2017-01-30T13:55:04Z
dc.date.created2009-03-05T00:58:14Z
dc.date.issued2007
dc.identifier.citationWan, Zhong and Wu, S. and Teo, Kok Lay. 2007. Some properties on quadratic infinite programs of integral type. Applied Mathematics Letters. 20 (6): pp. 676-680.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/36330
dc.identifier.doi10.1016/j.aml.2006.07.006
dc.description.abstract

In this work, we investigate the properties of a class of quadratic infinite programs where the objective is a quadratic functional of integral type and the feasible region is a subset of the infinite dimensional space L p([0, 1]). We first derive a dual problem of the primal problem to demonstrate that there is no duality gap between them. Then we prove that the objective function depends continuously on the design function. Two existence theorems for this kind of optimization problem are presented. These theoretical results may prove useful in the design of efficient algorithms for this class of infinite programming problem.

dc.publisherElsevier
dc.titleSome properties on quadratic infinite programs of integral type
dc.typeJournal Article
dcterms.source.volume20
dcterms.source.number6
dcterms.source.startPage676
dcterms.source.endPage680
dcterms.source.issn08939659
dcterms.source.titleApplied Mathematics Letters
curtin.note

The link to the journal's home page is: http://www.elsevier.com/wps/find/journaldescription.cws_home/843/description#description

curtin.note

Copyright © 2007 Elsevier Ltd All rights reserved.

curtin.accessStatusOpen access via publisher
curtin.facultyDepartment of Mathematics and Statistics
curtin.facultySchool of Science
curtin.facultyFaculty of Science and Engineering


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