Numerical method for approximating the solution set of a system of non-linear inequalities

Yuri G. Evtushenko, Mikhail A. Posypkin, Larisa A. Rybak, Andrei V. Turkin

Abstract


This paper presents a method of finding an approximation to the solution set of systems of nonlinear equations, which is based on the non-uniform covering concept. Two approaches to constructing approximations are discussed: the first one is based on using a global optimization technique to get a solution for a box of the covering, the second on uses approximations to its optimum. We point out the following features of these approaches: the amount of time that the program takes to solve the problem by using global optimization, the precision of the solution when using extrema approximations for a box of the covering.

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