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Abstract: A complementarity problem with a continuous mapping f from the n-dimensional Euclidean space R into itself can be written as the system of equations F (x# y)=0 and (x# y) 0: Here F is the mapping from R into itself defined by F (x# y)=(x 1 y 1 #x 2 y 2 # \Delta\Delta\Delta#x n y n # y ; f(x)) for every (x# y) 0: Under the assumption that the mapping f is a P 0 -function, we study various aspects of homotopy continuation methods that trace a trajectory consisting of solutions of... (Update)
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BibTeX entry: (Update)
@misc{ complementarity-homotopy,
author = "For Nonlinear Complementarity",
title = "Homotopy Continuation Methods",
url = "citeseer.ist.psu.edu/652592.html" }
Citations (may not include all citations):20 An algorithm for solving linear programming problems in O(n .. (context) - Gonzaga - 1989
11 Triangulation of algebraic sets (context) - Hironaka - 1975
10 Nonlinear programs with positively bounded Jacobians (context) - Cottle - 1961
8 On matrices with non-positive off-diagonal elements and posi.. (context) - Fiedler, Pt'ak - 1961
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