T. I. Belykh, V. P. Bulatov, È. N. Yas'kova, “Methods of Chebyshev points of convex sets and their applications”, Avtomat. i Telemekh., 2008, Issue 4,Pages <nobr>168

Compututational Methods and Applications

Methods of Chebyshev points of convex sets and their applications

T. I. Belykh^a, V. P. Bulatov^b, È. N. Yas'kova^b

^a Baikal State University of Economics and Law, Irkutsk, Russia
^b Melent'ev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

Abstract: Consideration is given to methods of Chebyshev points in convex programming and their applications in optimal control. These methods belong to a class of cutting-immersion methods whose idea is in the approximation of convex sets by concave polyhedra.

PACS: 02.30.Yy

Presented by the member of Editorial Board: V. N. Bukov

Received: 16.01.2007