Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Anatoli I. Propoi

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

propoi@gmail.com

Keywords

  • Convex analysis
  • uncertainty relations
  • dual conjugate cones
  • epsilon-subdifferential

Mathematics Subject Classification

68Q25, 68R10, 68U05

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Suggested citation

A. I. Propoi. “Uncertainty Relations in Optimization.” Journal of Convex Analysis 26 (2019), No. 2, 605–616. https://doi.org/10.68381/jca26032

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Published by Heldermann Verlag, 2019. Rights now held by Banach Press LLC.