On a class of nonsmooth composite functions
Alexander Shapiro (ashapiroisye.gatech.edu)
Abstract: We discuss in this paper a class of nonsmooth functions which can be represented, in a neighborhood of a considered point, as a composition of a positively homogeneous convex function and a smooth mapping which maps the considered point into the null vector. We argue that this is a sufficiently rich class of functions and that such functions have various properties useful for purposes of optimization.
Keywords: Nonsmooth optimization, directional derivatives, semismooth functions, partially smooth functions, optimality conditions, sensitivity analysis
Category 1: Convex and Nonsmooth Optimization
Category 2: Convex and Nonsmooth Optimization (Nonsmooth Optimization )
Citation: Preprint, School of Industrial and Systems Engineering, Georgia Institute of Technology, July, 2002.
Entry Submitted: 07/13/2002
Modify/Update this entry
|Visitors||Authors||More about us||Links|
Search, Browse the Repository
Give us feedback
|Optimization Journals, Sites, Societies|