Back to Search
Start Over
On Minimizing Some Merit Functions for Nonlinear Complementarity Problems under H-Differentiability.
- Source :
- Journal of Optimization Theory & Applications; Oct2008, Vol. 139 Issue 1, p127-140, 14p
- Publication Year :
- 2008
-
Abstract
- In this paper, we describe the H-differentials of some well known NCP functions and their merit functions. We show how, under appropriate conditions on an H-differential of f, minimizing a merit function corresponding to f leads to a solution of the nonlinear complementarity problem. Our results give a unified treatment of such results for C <superscript>1</superscript>-functions, semismooth-functions, and locally Lipschitzian functions. Illustrations are given to show the usefulness of our results. We present also a result on the global convergence of a derivative-free descent algorithm for solving the nonlinear complementarity problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 139
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 35076152
- Full Text :
- https://doi.org/10.1007/s10957-008-9409-z