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TitleComputing global minima to polynomial optimization problems using Gröbner bases
Author(s) K. Hägglöf, P. O. Lindberg, Lars Svensson
TypeArticle in Journal
AbstractThe local optimality conditions to polynomial optimization problems are a set of polynomial equations (plus some inequality conditions). With the recent techniques of Gröbner bases one can find all solutions to such systems, and hence also find global optima. We give a short survey of these methods. We also apply them to a set of problems termed lsquowith exact solutions unknownrsquo in the problem sets of Hock and Schittkowski. To these problems we give exact solutions.
KeywordsGlobal optima, Gröbner bases, polynomial optimization problems
ISSN0925-5001
URL dx.doi.org/10.1007/BF01097057
LanguageEnglish
JournalJournal of Global Optimization (Historical Archive)
Volume7
Number2
Pages115-125
PublisherSpringer Science Business Media B.V.
Year1995
MonthSeptember
Translation No
Refereed No
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