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A SQP METHOD FOR GENERAL NONLINEAR COMPLEMENTARITY PROBLEMS
Authors:Xiu Naihua.Dept.of Appl.Math.  Northern Jiaotong Univ.  Beijing . Email:nhxiu@center.njtu.edu.cn
Affiliation:Xiu Naihua.Dept.of Appl.Math.,Northern Jiaotong Univ.,Beijing 100044. Email:nhxiu@center.njtu.edu.cn
Abstract:In this paper,the nonlinear complementarity problem is transformed into the least squares problem with nonnegative constraints,and a SQP algorithm for this reformulation based on a damped Gauss Newton type method is presented.It is shown that the algorithm is globally and locally superlinearly (quadratically) convergent without the assumption of monotonicity.
Keywords:Nonlinear complementarity problem  SQP method  superlinear convergence  quadratic convergence.
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