Review of applications of the Cutting Angle methods

Beliakov, Gleb 2005, Review of applications of the Cutting Angle methods. In Jeyakumar, Vaithilingam and Rubinov, Alexander (ed), Continuous optimization, Springer, New York, N.Y., pp.209-248.

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Title Review of applications of the Cutting Angle methods
Author(s) Beliakov, GlebORCID iD for Beliakov, Gleb
Title of book Continuous optimization
Editor(s) Jeyakumar, Vaithilingam
Rubinov, Alexander
Publication date 2005
Series Applied optimization, vol. 99
Chapter number 7
Total chapters 16
Start page 209
End page 248
Total pages 40
Publisher Springer
Place of Publication New York, N.Y.
Keyword(s) global optimization
abstract convexity
cutting angle method
random variate generation
uniform approximation
Summary The theory of abstract convexity provides us with the necessary tools for building accurate one-sided approximations of functions. Cutting angle methods have recently emerged as a tool for global optimization of families of abstract convex functions. Their applicability have been subsequently extended to other problems, such as scattered data interpolation. This paper reviews three different applications of cutting angle methods, namely global optimization, generation of nonuniform random variates and multivatiate interpolation.
Notes The original publication is available at
ISBN 0387267697
ISSN 1384-6485
Language eng
Field of Research 010303 Optimisation
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category B1.1 Book chapter
ERA Research output type B Book chapter
Copyright notice ©2005, Springer
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