Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 411-416
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I. V. Evstigneev. Iterations of homogeneous polynomial transformations with positive coefficients. Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 411-416. http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a5/
@article{MZM_1969_6_4_a5,
author = {I. V. Evstigneev},
title = {Iterations of homogeneous polynomial transformations with positive coefficients},
journal = {Matemati\v{c}eskie zametki},
pages = {411--416},
year = {1969},
volume = {6},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a5/}
}
TY - JOUR
AU - I. V. Evstigneev
TI - Iterations of homogeneous polynomial transformations with positive coefficients
JO - Matematičeskie zametki
PY - 1969
SP - 411
EP - 416
VL - 6
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a5/
LA - ru
ID - MZM_1969_6_4_a5
ER -
%0 Journal Article
%A I. V. Evstigneev
%T Iterations of homogeneous polynomial transformations with positive coefficients
%J Matematičeskie zametki
%D 1969
%P 411-416
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a5/
%G ru
%F MZM_1969_6_4_a5
A study is made of the behavior as $k\to\infty$ of the iterations $T^k(x)$ of a homogeneous polynomial transformation $T$ acting from $R^n$ to $R^n$ according to the formula $(T(x))_i=Q_i(x)$, $i=1,2,\dots,n$, where $Q_i(x)$ is a homogeneous polynomial of degree $m>1$ with positive coefficients.
