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Title of Article

ON ERROR ESTIMATION OF EXTREMUM SEARCH ALGORITHMS IN FUNCTION CLASSES DEFINED BY A PIECEWISE LINEAR MAJORANT


Issue
3
Date
2013

Section
MATHEMATICAL MODELING. ОPTIMAL CONTROL

Article type
scientific article
UDC
519.615.7
Pages
188-194
Keywords
function classes, piecewise linear majorant, extremum search algorithm, error estimation algorithm.


Authors
Korotchenko Anatoliy Grigorevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Smoryakova Valentina Mikhaylovna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
Function classes defined by a piecewise linear majorant are considered. Some subclasses for these classes are introduced which contain all such functions that take fixed values at points given by some algorithm. The relations have been found linking the error estimates in determining function maxima in the subclasses introduced.

File (in Russian)