Geodesic
Uncertainty Relations in Optimization
Journal of convex analysis, Tome 26 (2019) no. 2, pp. 605-616
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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.
Classification : 68Q25, 68R10, 68U05
Mots-clés : Convex analysis, uncertainty relations, dual conjugate cones, epsilon-subdifferential 
@article{JCA_2019_26_2_JCA_2019_26_2_a12,
     author = {A. I. Propoi},
     title = {Uncertainty {Relations} in {Optimization}},
     journal = {Journal of convex analysis},
     pages = {605--616},
     year = {2019},
     volume = {26},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2019_26_2_JCA_2019_26_2_a12/}
}
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A. I. Propoi. Uncertainty Relations in Optimization. Journal of convex analysis, Tome 26 (2019) no. 2, pp. 605-616. http://geodesic.mathdoc.fr/item/JCA_2019_26_2_JCA_2019_26_2_a12/