Journal of Jilin University Science Edition

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Matrix Pair with the Sum and Product Being Equaland Its Polynomial Denotation

CHEN Meixiang1, LV  Hongbin2, FENG Xiaoxia3, YANG Zhongpeng1, XU Chenyu4   

  1. 1. Department of Mathematics, Putian University, Putian 351100, Fujian Province, China;2. School of Mathematics, Beihua University, Jilin 132033, Jilin Province, China;3. Department of Mathematics, Zhangzhou Normal University, Zhangzhou 363000, Fujian Province, China;4. School of Mathematics Sciences, Xiamen University, Xiamen 361005, Fujian Province, China
  • Received:2012-12-31 Online:2013-09-26 Published:2013-09-17
  • Contact: YANG Zhongpeng E-mail:yangzhongpeng@126.com

Abstract:

Applying the theory of Jordan canonical form, we proved the properties of Jordan canonical forms of the matrix pair with the sum and product being equal are determined mutually, obtaining the new results of polynomial denotation determined by minimal polynomial and commutative subspaces.

Key words: matrix pair with the sum and product being equal, Jordan canonical form, polynomial, minimal polynomial

CLC Number: 

  • O151.21