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
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@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},
publisher = {mathdoc},
volume = {23},
number = {2},
year = {1983},
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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a6/ LA - ru ID - ZVMMF_1983_23_2_a6 ER -
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/