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Implicit Smoothing and Its Application to Optimization with Piecewise Smooth Equality Constraints.
- Source :
- Journal of Optimization Theory & Applications; Mar2005, Vol. 124 Issue 3, p673-699, 7p
- Publication Year :
- 2005
-
Abstract
- In this paper, we discuss the smoothing of an implicit function defined by a nonsmooth underdetermined system of equations F(y, z) =0. We apply a class of parametrized smoothing methods to smooth F and investigate the limiting behavior of the implicit function solving the smoothed equations. In particular, we discuss the approximation of the Clarke generalized Jacobian of the implicit function when F is piecewise smooth. As an application, we present an analysis of the generalized Karush-Kuhn-Tucker conditions of different forms for a piecewise-smooth equality-constrained minimization problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 124
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 16786202
- Full Text :
- https://doi.org/10.1007/s10957-004-1180-1