Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 576-582
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Yu. A. Chernyaev. An extension of the conditional gradient method to a class of nonconvex optimization problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 576-582. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a2/
@article{ZVMMF_2006_46_4_a2,
author = {Yu. A. Chernyaev},
title = {An extension of the conditional gradient method to a~class of nonconvex optimization problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {576--582},
year = {2006},
volume = {46},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a2/}
}
TY - JOUR
AU - Yu. A. Chernyaev
TI - An extension of the conditional gradient method to a class of nonconvex optimization problems
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2006
SP - 576
EP - 582
VL - 46
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a2/
LA - ru
ID - ZVMMF_2006_46_4_a2
ER -
%0 Journal Article
%A Yu. A. Chernyaev
%T An extension of the conditional gradient method to a class of nonconvex optimization problems
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 576-582
%V 46
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a2/
%G ru
%F ZVMMF_2006_46_4_a2
The conditional gradient method is extended to the case when the feasible set is the set-the-oretic difference of a certain convex set and the union of several convex sets. Necessary extremum conditions are used to prove the convergence of the method.
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