Cutting methods in $E^{n+1}$ for global optimization of a class of functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1830-1842
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A class of functions that attain their minima on a compact subset of the $n$-dimensional Euclidean space $E^n$ 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.
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author = {V. P. Bulatov and O. V. Khamisov},
title = {Cutting methods in $E^{n+1}$ for global optimization of a~class of functions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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V. P. Bulatov; O. V. Khamisov. Cutting methods in $E^{n+1}$ for global optimization of a class of functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1830-1842. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a2/
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