This article is cited 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.

UDC: 517.9

Received: 21.05.2009
Received in revised form: 20.06.2009
Accepted: 10.07.2009