Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 26 (2019), No. 2, 605--616
Copyright Heldermann Verlag 2019

Uncertainty Relations in Optimization

Anatoli I. Propoi
Federal Research Center for Computer Science and Control, Russian Academy of Sciences, Moscow 119333, Russia

Uncertainty relations for a pair of dual (conjugate) cones are established. For this purpose a measure of dispersion for a cone as the norm (in some metric) of the deviation of a ray from the axis of a cone is introduced. An application of the uncertainty relations to the epsilon-subdifferential is considered.

Keywords: Convex analysis, uncertainty relations, dual conjugate cones, epsilon-subdifferential.

MSC: 68Q25, 68R10, 68U05

[ Fulltext-pdf  (106  KB)] for subscribers only.