Key points are not available for this paper at this time.
A simplicial method is used to approximate the solution manifold to a system of nonlinear equations, H (x) =, where H: R^N + K RN The method begins at a point x₀ in the solution set where the derivative DH (x₀) is of full rank. Given any > 0, a piecewise linear manifold is constructed along which \| H (x) \|_ <. An algorithm is presented to carry out this construction in an efficient fashion.
Allgower et al. (Mon,) studied this question.