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dc.contributorVirginia Techen_US
dc.contributor.authorGao, D. Y.en_US
dc.date.accessioned2014-05-14T13:23:41Z
dc.date.available2014-05-14T13:23:41Z
dc.date.issued2007-05-01
dc.identifier.citationGao, D. Y., "Solutions and optimality criteria to box constrained nonconvex minimization problems," J. Industrial and Management Optimization 3(2), 293-304, (2007); DOI: 10.3934/cpaa.2011.10.1517
dc.identifier.issn1547-5816
dc.identifier.urihttp://hdl.handle.net/10919/47977
dc.description.abstractThe design of elastic structures to optimize strength and economy of materials is a fundamental problem in structural engineering and related areas of applied mathematics. In this article we explore a finite dimensional framework for approximate solution of such design problems based on linear elasticity with a range of elastic coefficients assumed available as design parameters. Solution methods for related optimization problems based on the matrix trace norm are suggested and analyzed, providing existence and uniqueness theorems. Results of computations for sample problems are presented and compared with parallel results in the literature based on other approaches.
dc.description.sponsorshipNSF CCF-0514768
dc.language.isoen_US
dc.publisherAmerican Institute of Mathematical Sciences
dc.subjectStructural optimizationen_US
dc.subjectLinear elastic systemsen_US
dc.subjectConvex programmingen_US
dc.subjectGradient projection methoden_US
dc.subjectConstraintsen_US
dc.subjectMathematics, applieden_US
dc.subjectMathematicsen_US
dc.titleSolutions and optimality criteria to box constrained nonconvex minimization problemsen_US
dc.typeArticle - Refereeden_US
dc.identifier.urlhttp://www.aimsciences.org/journals/displayArticles.jsp?paperID=2264
dc.date.accessed2014-05-09
dc.title.serialJournal of Industrial and Management Optimization
dc.identifier.doihttps://doi.org/10.3934/cpaa.2011.10.1517
dc.type.dcmitypeTexten_US


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