1. Convexification of Nonsmooth Monotone Functions.
- Author
-
Sun, X. L., Luo, H. Z., and Li, D.
- Subjects
MATHEMATICAL optimization ,NONSMOOTH optimization ,MATHEMATICAL analysis ,CONVEX functions ,CONCENTRATION functions ,SUBDIFFERENTIALS ,REAL variables ,COMPLEX variables ,MATHEMATICS - Abstract
We consider a convexification method for a class of nonsmooth monotone functions. Specifically, we prove that a semismooth monotone function can be converted into a convex function via certain convexification transformations. The results derived in this paper lay a theoretical base to extend the reach of convexification methods in monotone optimization to nonsmooth situations. [ABSTRACT FROM AUTHOR]
- Published
- 2007
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