Abstract
This paper describes a globally convergent path-following method for solving nonlinear equations containing particular kinds of nonsmooth functions called normal maps. These normal maps express nonlinear variational inequalities over polyhedral convex sets in a form convenient for analysis and computational solution. The algorithm is based on the well known predictor-corrector method for smooth functions, but it operates in the piecewise linear normal manifold induced by the convex set, and thus extends and implements earlier ideas of Alexander, Kellogg, Li, and Yorke. We discuss how the implementation works, and present some preliminary computational results.
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