Research Reports from the Department of Operations
Document Type
Report
Publication Date
5-1-1977
Abstract
This article considers a smoothing or data fitting problem involving minimization of the distance from a function f to a convex cone of functions. A weighted uniform norm is considered as a measure of the distance. The domain of functions is a partially ordered set, and the convex cone is defined by isotonicity and nonnegativity conditions on functions. The problem has a linear programming formulation, however, explicit expressions for optimal solutions have been obtained directly, thereby eliminating the necessity of using linear programming techniques. The results are applied to approximation by starshaped functions.
Keywords
Operations research, Approximation theory, Convex functions, Linear programming, Mathematical optimization, Functional analysis
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 422
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Ubhaya, Vasant A., "Generalized Isotone Optimization with Applications to Starshaped Functions" (1977). Research Reports from the Department of Operations. 224.
https://commons.case.edu/wsom-ops-reports/224