Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2012, Issue 1, Pages 3–8 (Mi vspui1)  

Applied mathematics

Finding stationary points of functions allowing nonhomogenious approximations of augment

M. E. Abbasov

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
References:
Abstract: Two approaches for constructing first degree approximations of a nonsmooth function (by means of exhausters and coexhausters) are studied. Advantages and disadvantages of each of them are discussed. A numerical method for finding stationary points of functions allowing nonhomogenious approximations of augment is presented. Convergence of this algorithm is proved.
Keywords: nonsmooth analysis, nondifferentiable optimization, codifferentiable functions, exhausters, coexhausters.

Accepted: October 20, 2011
Document Type: Article
UDC: 519.3+519.7
Language: Russian
Citation: M. E. Abbasov, “Finding stationary points of functions allowing nonhomogenious approximations of augment”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 1, 3–8
Citation in format AMSBIB
\Bibitem{Abb12}
\by M.~E.~Abbasov
\paper Finding stationary points of functions allowing nonhomogenious approximations of augment
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2012
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/vspui1}
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    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    References:61
    First page:14
     
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