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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 3, Pages 305–311 (Mi jsfu77)  

This article is cited in 1 scientific paper (total in 1 paper)

Approximation of the Sets of Solutions by Parametric Sets

Boris S. Dobronets

Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (156 kB) Citations (1)
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Abstract: We consider approximation of the sets of solutions of problems with interval initial data by special parametric sets. The approximations are based on the union of geometric bodies determined by a vector of parameters. Examples of approximation are given for the sets of solutions to a system of linear algebraic equations and dynamical systems.
Keywords: interval analysis, sets of solutions, parametric sets, systems of linear algebraic equations, dynamical systems, wrapping effect.
Received: 21.05.2009
Received in revised form: 20.06.2009
Accepted: 10.07.2009
UDC: 517.9
Language: Russian
Citation: Boris S. Dobronets, “Approximation of the Sets of Solutions by Parametric Sets”, J. Sib. Fed. Univ. Math. Phys., 2:3 (2009), 305–311
Citation in format AMSBIB
\Bibitem{Dob09}
\by Boris~S.~Dobronets
\paper Approximation of the Sets of Solutions by Parametric Sets
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2009
\vol 2
\issue 3
\pages 305--311
\mathnet{http://mi.mathnet.ru/jsfu77}
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  • https://www.mathnet.ru/eng/jsfu/v2/i3/p305
  • This publication is cited in the following 1 articles:
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Full-text PDF :112
    References:61
     
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