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University proceedings. Volga region. Physical and mathematical sciences, 2008, Issue 4, Pages 62–70
(Mi ivpnz758)
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Mathematics
Synthesis of effective optimization algorithms and development of the direct Lyapunov method
A. Yu. Bogdanov Ulyanovsk State University, Ulyanovsk
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.
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
Linking options:
https://www.mathnet.ru/eng/ivpnz758 https://www.mathnet.ru/eng/ivpnz/y2008/i4/p62
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Abstract page: | 16 | Full-text PDF : | 10 | References: | 11 |
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