Enclosure for the solution set of parametric linear systems with non-affine dependencies

Abstract

The problem of solving linear systems whose coefficients are nonlinear functions of parameters varying within prescribed intervals is investigated. A new method for outer interval solution of such system is proposed. In order to reduce memory usage, nonlinear dependencies between parameters are handled using revised affine arithmetic. Some numerical experiments which aim to show the properties of the proposed method are reported. © 2012 Springer-Verlag.