Computational Experience with the Chow-yorke

The Chow-Yorke algorithm is a nonsimplicial homotopy-type method for computing Brouwer fixed points that is globally convergent. It is efficient and accurate for fixed point problems. L. T. Watson, T. Y. Li, and C. Y. Wang have adapted the method for zero finding problems, the nonlinear complementarity problem, and nonlinear two-point boundary value problems. Here theoretical justification is given for applying the method to some mathematical programming problems, and computational results are presented.