Methods of Chebyshev points of convex sets and their applications
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 18-32
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Chebyshev points of bounded convex sets, search algorithms for them, and various applications to convex programming are considered for simple approximations of reachable sets, optimal control, global optimization of additive functions on convex polyhedra, and integer programming. The problem of searching for Chebyshev points in multicriteria models of development and operation of electric power systems is considered.
@article{ZVMMF_2008_48_1_a1,
author = {T. I. Belykh and V. P. Bulatov and \`E. N. Yas'kova},
title = {Methods of {Chebyshev} points of convex sets and their applications},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {18--32},
publisher = {mathdoc},
volume = {48},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a1/}
}
TY - JOUR AU - T. I. Belykh AU - V. P. Bulatov AU - È. N. Yas'kova TI - Methods of Chebyshev points of convex sets and their applications JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 18 EP - 32 VL - 48 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a1/ LA - ru ID - ZVMMF_2008_48_1_a1 ER -
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T. I. Belykh; V. P. Bulatov; È. N. Yas'kova. Methods of Chebyshev points of convex sets and their applications. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 18-32. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a1/