On a class of nonsmooth composite functions

• 成果类型: Article
• 署名作者: Shapiro, A
• 署名单位: University System of Georgia; Georgia Institute of Technology
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.28.4.677.20512
• 发表日期: 2003
• 页码: 677-692
• 关键词: eigenvalue

摘要

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.