The details of a continuation algorithm for systems of real polynomial equations which is suitable for calculating all their zeros is described. Some properties of this algorithm are shown by means of a simple example. Such a numerical method is helpful to circumvent the problems connected with bifurcations and turning points occurring in systems of parameterized polynomial equations. Applications of this algorithm enable the determination of all DC operational points of nonlinear resistive networks and the solving of nonlinear design equations with more than one solution.
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