Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2006), pp. 63-70
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G. G. Islamov; Y. V. Kogan. On one algorithm of finding a matrix basis minor. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2006), pp. 63-70. http://geodesic.mathdoc.fr/item/VUU_2006_1_a4/
@article{VUU_2006_1_a4,
author = {G. G. Islamov and Y. V. Kogan},
title = {On one algorithm of finding a matrix basis minor},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {63--70},
year = {2006},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2006_1_a4/}
}
TY - JOUR
AU - G. G. Islamov
AU - Y. V. Kogan
TI - On one algorithm of finding a matrix basis minor
JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY - 2006
SP - 63
EP - 70
IS - 1
UR - http://geodesic.mathdoc.fr/item/VUU_2006_1_a4/
LA - ru
ID - VUU_2006_1_a4
ER -
%0 Journal Article
%A G. G. Islamov
%A Y. V. Kogan
%T On one algorithm of finding a matrix basis minor
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2006
%P 63-70
%N 1
%U http://geodesic.mathdoc.fr/item/VUU_2006_1_a4/
%G ru
%F VUU_2006_1_a4
The simple algorithm of finding a matrix basis minor is formulated, which allows to calculate simaltaneously the rank of matrix, the value of basis minor, the inverse matrix for basis minor matrix, the coordinates of nonbasis rows and columns relative to the basis rows and columns, extreme points and directions of polyhedral sets, and also to answer the question about solvability of the system of linear inequalities.