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University proceedings. Volga region. Physical and mathematical sciences, 2008, Issue 4, Pages 62–70 (Mi ivpnz758)  

Mathematics

Synthesis of effective optimization algorithms and development of the direct Lyapunov method

A. Yu. Bogdanov

Ulyanovsk State University, Ulyanovsk
References:
Abstract: The issues related to the theoretical justification and practical application of new methods for the synthesis of highly efficient numerical optimization algorithms of the first and second orders are considered. A significant improvement in the convergence rate and expansion of the convergence range of algorithms is provided by adapting the general results of the stabilization theory of discrete non-autonomous controlled systems using the advantages of the theory of limit equations and the Lyapunov function method.
UDC: 519.615.7
Language: Russian
Citation: A. Yu. Bogdanov, “Synthesis of effective optimization algorithms and development of the direct Lyapunov method”, University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 4, 62–70
Citation in format AMSBIB
\Bibitem{Bog08}
\by A.~Yu.~Bogdanov
\paper Synthesis of effective optimization algorithms and development of the direct Lyapunov method
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2008
\issue 4
\pages 62--70
\mathnet{http://mi.mathnet.ru/ivpnz758}
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