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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 3, Pages 305–311
(Mi jsfu77)
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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
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
Citation:
Boris S. Dobronets, “Approximation of the Sets of Solutions by Parametric Sets”, J. Sib. Fed. Univ. Math. Phys., 2:3 (2009), 305–311
Linking options:
https://www.mathnet.ru/eng/jsfu77 https://www.mathnet.ru/eng/jsfu/v2/i3/p305
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Abstract page: | 468 | Full-text PDF : | 126 | References: | 79 |
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