Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 307-313
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N. S. Vasil'ev. Methods of finding the global minimum of a quasi-concave function. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 307-313. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a6/
@article{ZVMMF_1983_23_2_a6,
author = {N. S. Vasil'ev},
title = {Methods of finding the global minimum of a quasi-concave function},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {307--313},
year = {1983},
volume = {23},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a6/}
}
TY - JOUR
AU - N. S. Vasil'ev
TI - Methods of finding the global minimum of a quasi-concave function
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 307
EP - 313
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a6/
LA - ru
ID - ZVMMF_1983_23_2_a6
ER -
%0 Journal Article
%A N. S. Vasil'ev
%T Methods of finding the global minimum of a quasi-concave function
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 307-313
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a6/
%G ru
%F ZVMMF_1983_23_2_a6
The class of multi-extremal problems in which the minimum of a quasi-concave function in a convex compact set is sought, is considered. Methods are given for finding the global extremum, consisting of the minimization of linear functions of a specially chosen family. Estimates are proved for the approximate solution of the problem, dependent on the accuracy of the approximation of the convex sets by polyhedra.
