Traversing non-convex regions

Michael Bartholomew-Biggs, Salah Beddiaf, Stephen Kane

Research output: Contribution to journalArticlepeer-review

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Abstract

This paper considers a method for dealing with non-convex objective functions in optimization problems. It uses the Hessian matrix and combines features of trust-region techniques and continuous steepest descent trajectory-following in order to construct an algorithm which performs curvilinear searches away from the starting point of each iteration. A prototype implementation yields promising results
Original languageEnglish
Pages (from-to)387-407
JournalAdvanced Modeling and Optimization
Volume15
Issue number2
Publication statusPublished - 2013

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