Triangularization of Matrices and Polynomial Maps
Canadian mathematical bulletin, Tome 63 (2020) no. 1, pp. 94-105
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We present conditions for a set of matrices satisfying a permutation identity to be simultaneously triangularizable. As applications of our results, we generalize Radjavi’s result on triangularization of matrices with permutable trace and results by Yan and Tang on linear triangularization of polynomial maps.
Mots-clés :
matrix, Jacobian matrix, permutation, polynomial map, simultaneous triangularization
Li, Yueyue; Tian, Yan; Du, Xiankun. Triangularization of Matrices and Polynomial Maps. Canadian mathematical bulletin, Tome 63 (2020) no. 1, pp. 94-105. doi: 10.4153/S0008439519000250
@article{10_4153_S0008439519000250,
author = {Li, Yueyue and Tian, Yan and Du, Xiankun},
title = {Triangularization of {Matrices} and {Polynomial} {Maps}},
journal = {Canadian mathematical bulletin},
pages = {94--105},
year = {2020},
volume = {63},
number = {1},
doi = {10.4153/S0008439519000250},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000250/}
}
TY - JOUR AU - Li, Yueyue AU - Tian, Yan AU - Du, Xiankun TI - Triangularization of Matrices and Polynomial Maps JO - Canadian mathematical bulletin PY - 2020 SP - 94 EP - 105 VL - 63 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000250/ DO - 10.4153/S0008439519000250 ID - 10_4153_S0008439519000250 ER -
%0 Journal Article %A Li, Yueyue %A Tian, Yan %A Du, Xiankun %T Triangularization of Matrices and Polynomial Maps %J Canadian mathematical bulletin %D 2020 %P 94-105 %V 63 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000250/ %R 10.4153/S0008439519000250 %F 10_4153_S0008439519000250
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