A Jacobian smoothing method for box constrained variational inequality problems

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摘要

In this paper we propose a Jacobian smoothing algorithm for the solution of the box constrained variational inequality problems VIP(l,u,F). The algorithm is based on a reformulation of a semismooth system of equations by using the Fischer–Burmeister function h(a,b)=a2+b2−a−b. Global and local superlinear convergence results for VIP(l,u,F) are obtained. Numerical experiments confirm the good theoretical properties of the algorithm.

论文关键词:Variational inequality problems,Box constraints,Smoothing method,Global convergence,Superlinear convergence

论文评审过程:Available online 12 May 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.03.018