Algorithm 666: Chabis: a mathematical software package for locating and evaluating roots of systems of nonlinear equations

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Abstract
CHABIS is a mathematical software package for the numerical solution of a system of n nonlinear equations in n variables. First, CHABIS locates at least one solution of the system within an n -dimensional polyhedron. Then, it applies a new generalized method of bisection to this n -polyhedron in order to obtain an approximate solution of the system according to a predetermined accuracy. In this paper we briefly describe the user interface to CHABIS and present several details of its implementation, as well as an example of its usage.

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