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Intelligent systems. Theory and applications, 2018, Volume 22, Issue 4, Pages 31–50 (Mi ista156)  
This article is cited in 1 scientific paper (total in 1 paper)

Penalty, barrier, quasi-barrier functions and functions inverse to them

A. G. Birjukov, A. V. Chernov, Yu. G. Chernova, Yu. I. Sharovatova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The methods of external penalty functions, internal penalty functions and quasi-barrier functions for solving problems of mathematical programming are considered. New quasi-barrier functions are proposed. The theorems of convergence of the indicated methods to the solution of mathematical programming problems are proved. The properties of these functions are considered for their transformations: differentiation, integration, construction of functions inverse to them.
Keywords: external penalty functions, internal penalty functions, barrier penalty functions, inverse functions, quasi-barrier functions, mathematical programming problem, differential barriers, power differential barriers, entropy differential barriers, convergence of differential barriers methods to solving mathematical programming problems.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00219
Document Type: Article
Language: Russian
Citation: A. G. Birjukov, A. V. Chernov, Yu. G. Chernova, Yu. I. Sharovatova, “Penalty, barrier, quasi-barrier functions and functions inverse to them”, Intelligent systems. Theory and applications, 22:4 (2018), 31–50
Citation in format AMSBIB
\Bibitem{BirCheChe18}
\by A.~G.~Birjukov, A.~V.~Chernov, Yu.~G.~Chernova, Yu.~I.~Sharovatova
\paper Penalty, barrier, quasi-barrier functions and functions inverse to them
\jour Intelligent systems. Theory and applications
\yr 2018
\vol 22
\issue 4
\pages 31--50
\mathnet{http://mi.mathnet.ru/ista156}
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