Triangularization of Matrices and Polynomial Maps
Canadian mathematical bulletin, Tome 63 (2020) no. 1, pp. 94-105

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DOI

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.
DOI : 10.4153/S0008439519000250
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
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     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/}
}
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