Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641373 | Journal of Computational and Applied Mathematics | 2010 | 9 Pages |
Abstract
The system of nonlinear inequalities is studied in this paper. By using the Chen–Harker–Kanzow–Smale smoothing function, the problem is approximated by a family of parameterized smooth equations. A regularized smoothing Newton algorithm is proposed to solve the smooth equations. We prove that the proposed algorithm converges globally and superlinearly under mild conditions. Furthermore, the algorithm has local quadratic convergence under suitable conditions. Preliminary numerical experiments are reported to show the efficiency of the algorithm.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jianguang Zhu, Hongwei Liu, Xiangli Li,