Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 3-6
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V. I. Bakhtin. A conditional extremum necessary condition in terms of local algebras. Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 3-6. http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a0/
@article{TIMB_2011_19_2_a0,
author = {V. I. Bakhtin},
title = {A conditional extremum necessary condition in terms of local algebras},
journal = {Trudy Instituta matematiki},
pages = {3--6},
year = {2011},
volume = {19},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a0/}
}
TY - JOUR
AU - V. I. Bakhtin
TI - A conditional extremum necessary condition in terms of local algebras
JO - Trudy Instituta matematiki
PY - 2011
SP - 3
EP - 6
VL - 19
IS - 2
UR - http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a0/
LA - ru
ID - TIMB_2011_19_2_a0
ER -
%0 Journal Article
%A V. I. Bakhtin
%T A conditional extremum necessary condition in terms of local algebras
%J Trudy Instituta matematiki
%D 2011
%P 3-6
%V 19
%N 2
%U http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a0/
%G ru
%F TIMB_2011_19_2_a0
We prove a necessary condition for local extremum in the classical optimization problem with equality constraints. It states that at the point of extremum the dimension of the local algebra associated with the problem cannot be odd.
