Abstract
In this paper we propose a new unconstrained differentiable merit function f for box constrained variational inequality problems VIP(l,u,F). We study various desirable properties of this new merit function f and propose a Gauss--Newton method in which each step requires only the solution of a system of linear equations. Global and superlinear convergence results for VIP(l,u,F) are obtained. Key results are the boundedness of the level sets of the merit function for any uniform P-function and the superlinear convergence of the algorithm without a nondegeneracy assumption. Numerical experiments confirm the good theoretical properties of the method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
