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Triangularization of Matrices and Polynomial Maps

Part of: Basic linear algebra Affine geometry

Published online by Cambridge University Press:  18 September 2019

Yueyue Li ,
Yan Tian  and
Xiankun Du
Yueyue Li
Affiliation:
College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China Email: a892691755@139.com
Yan Tian
Affiliation:
School of Mathematics, Liaoning Normal University, Dalian 116029, China Email: tiantian8835@163.com
Xiankun Du
Affiliation:
School of Mathematics, Jilin University, Changchun 130012, China Email: duxk@jlu.edu.cn
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Abstract

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.

Keywords

matrixJacobian matrixpermutationpolynomial mapsimultaneous triangularization

MSC classification

Primary: 15A21: Canonical forms, reductions, classification
Secondary: 14R15: Jacobian problem
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 1 , March 2020 , pp. 94 - 105
Copyright
© Canadian Mathematical Society 2019

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Footnotes

Supported by NSF of China (No. 11771176). Corresponding author: Xiankun Du.

References

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