Публикации

Chebyshev, octahedral and eucledean projection of a point onto polyhedron

Статья конференции
Zorkal'Tsev V.
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings.
10.1109/CNSA.2017.7974039
9 781 509 062 607
2017
The problem of search of closest point of polyhedron to origin is considered under different definitions of concept 'closeness'. Polyhedron is defined as set of solutions of system of linear inequalities. Properties and relations of Euclidean, Chebyshev, octahedral, Holder projections of origin onto polyhedron are researched. © 2017 IEEE.
Zorkal'Tsev V. Chebyshev, octahedral and eucledean projection of a point onto polyhedron // 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. 2017. ISBN 9 781 509 062 607. DOI: 10.1109/CNSA.2017.7974039.
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