Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 993-1001
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O. D. Golubitsky. Involutive Gröbner walk. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 993-1001. http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a2/
@article{FPM_2001_7_4_a2,
author = {O. D. Golubitsky},
title = {Involutive {Gr\"obner} walk},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {993--1001},
year = {2001},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a2/}
}
TY - JOUR
AU - O. D. Golubitsky
TI - Involutive Gröbner walk
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 993
EP - 1001
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a2/
LA - ru
ID - FPM_2001_7_4_a2
ER -
%0 Journal Article
%A O. D. Golubitsky
%T Involutive Gröbner walk
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 993-1001
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a2/
%G ru
%F FPM_2001_7_4_a2
An algorithm that transforms an involutive basis of a polynomial ideal with respect to one monomial ordering into an involutive basis with respect to another ordering is proposed. The algorithm is based on the Gröbner walk method of transformation of Gröbner bases of polynomial ideals.