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Convergence analysis of nonsmooth equations for the general nonlinear complementarity problem
Authors:Shou-qiang Du  Yan Gao
Affiliation:1. School of Management, University of Shanghai for Science and Technology, Shanghai 200093, China;2. College of Mathematics, Qingdao University, Qingdao, 266071, China
Abstract:This paper deals with a general nonlinear complementarity problem, where the underlying functions are assumed to be continuous. Based on a nonlinear complementarity function, it is transformed into a system of nonsmooth equations. Then, two kinds of approximate Newton methods for the nonsmooth equations are developed and their convergence are proved. Finally, numerical tests are also listed.
Keywords:90C30   90C33
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