Article ID: | iaor201523999 |
Volume: | 38 |
Issue: | 6 |
Start Page Number: | 911 |
End Page Number: | 924 |
Publication Date: | Dec 1991 |
Journal: | Naval Research Logistics (NRL) |
Authors: | Rote Gnter, Hamacher Horst W, Burkard Rainer E |
Keywords: | approximation, separable problem |
In this article an algorithm for computing upper and lower approximations of a (implicitly or explicitly) given convex function h defined on an interval of length T is developed. The approximations can be obtained under weak assumptions on h (in particular, no differentiability), and the error decreases quadratically with the number of iterations. To reach an absolute accuracy of the number of iterations is bounded by , where D is the total increase in slope of h. As an application we discuss separable convex programs.