caa a22 4500 475750500 CHVBK 20180406123522.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1026546230851 doi (NATIONALLICENCE)springer-10.1023/A:1026546230851 A Global Linear and Local Quadratic Continuation Smoothing Method for Variational Inequalities with Box Constraints [Elektronische Daten] [Bintong Chen, Xiaojun Chen] In this paper, we propose a continuation method for box constrained variational inequality problems. The continuation method is based on the class of Gabriel-Moré smooth functions and has the following attractive features: It can start from any point; It has a simple and natural neighborhood definition; It solves only one approximate Newton equation at each iteration; It converges globally linearly and locally quadratically under nondegeneracy assumption at the solution point and other suitable assumptions. A hybrid method is also presented, which is shown to preserve the above convergence properties without the nondegeneracy assumption at the solution point. In particular, the hybrid method converges finitely for affine problems. Kluwer Academic Publishers, 2000 variational inequality nationallicence continuation smoothing method nationallicence linear convergence nationallicence quadratic convergence nationallicence Chen Bintong Department of Management and Decision Sciences, Washington State University, 99164-4736, Pullman, WA, USA aut Chen Xiaojun Department of Mathematics and Computer Science, Shimane University, 690-8504, Matsue, Japan aut Computational Optimization and Applications Kluwer Academic Publishers 17/2-3(2000-12-01), 131-158 0926-6003 17:2-3<131 2000 17 10589 https://doi.org/10.1023/A:1026546230851 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026546230851 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Bintong Department of Management and Decision Sciences, Washington State University, 99164-4736, Pullman, WA, USA aut NATIONALLICENCE 700 1- Chen Xiaojun Department of Mathematics and Computer Science, Shimane University, 690-8504, Matsue, Japan aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 17/2-3(2000-12-01), 131-158 0926-6003 17:2-3<131 2000 17 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer