Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 329-338
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V. I. Berdyshev. Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem. Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 329-338. http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a5/
@article{MZM_1970_8_3_a5,
author = {V. I. Berdyshev},
title = {Influence of geometric properties of space on the convergence of {Cauchy's} method in the best-approximation problem},
journal = {Matemati\v{c}eskie zametki},
pages = {329--338},
year = {1970},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a5/}
}
TY - JOUR
AU - V. I. Berdyshev
TI - Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem
JO - Matematičeskie zametki
PY - 1970
SP - 329
EP - 338
VL - 8
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a5/
LA - ru
ID - MZM_1970_8_3_a5
ER -
%0 Journal Article
%A V. I. Berdyshev
%T Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem
%J Matematičeskie zametki
%D 1970
%P 329-338
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a5/
%G ru
%F MZM_1970_8_3_a5
The reciprocity of certain geometrical properties of finite-dimensional Banach space is established. The role of these properties in the construction of best-approximation elements by Cauchy's method is investigated.
