Cutting methods in E super(n+1) for global optimization of a class of functions

A class of functions that attain their minima on a compact subset of the n-dimensional Euclidean space E super(n) is introduced. This is a rather broad functional class, which is stable with respect to operations commonly occurring in optimization. The functions in this class are a convenient tool i...

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Bibliographic Details
Published inComputational mathematics and mathematical physics Vol. 47; no. 11; pp. 1756 - 1767
Main Authors Bulatov, V P, Khamisov, O V
Format Journal Article
LanguageEnglish
Published 01.11.2007
Subjects
Computation
Cutting
Mathematical analysis
Mathematical models
Minima
Optimization
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Summary:A class of functions that attain their minima on a compact subset of the n-dimensional Euclidean space E super(n) is introduced. This is a rather broad functional class, which is stable with respect to operations commonly occurring in optimization. The functions in this class are a convenient tool in the formal description of numerous applied problems. Moreover, reasonably efficient methods can be developed for finding global minima of such functions on a compact set. One such method is discussed in this paper.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542507110036