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Triangularization of Matrices and Polynomial Maps

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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… Click to show full abstract

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: polynomial maps; matrices polynomial; triangularization matrices; triangularization

Journal Title: Canadian Mathematical Bulletin
Year Published: 2019

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