1. Triangularization of Matrices and Polynomial Maps
- Author
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Yueyue Li, Xiankun Du, and Yan Tian
- Subjects
Polynomial ,Trace (linear algebra) ,General Mathematics ,010102 general mathematics ,010103 numerical & computational mathematics ,01 natural sciences ,Identity (music) ,Combinatorics ,Set (abstract data type) ,Matrix (mathematics) ,symbols.namesake ,Permutation ,Jacobian matrix and determinant ,symbols ,Permutable prime ,0101 mathematics ,Mathematics - 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.
- Published
- 2019
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