J4 ›› 2012, Vol. 50 ›› Issue (06): 1069-1074.

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Necessary and Sufficient Conditions and Applications ofGeneralized m Involutory Matrix and (m,l) Idempotent Matrix

LV  Hongbin1, YANG Zhongpeng2,3, FENG Xiaoxia4, CHEN Meixiang2,3, HUANG Liqin2,5   

  1. 1. School of Mathematics, Beihua University, Jilin 132033, Jilin Province, China; 2. Applied Mathematics Laboratoryof Putian University, Key Laboratory in Universities of Fujian Province, Putian 351100, Fujian Province, China;[JP]3. Department of Mathematics, Putian University, Putian 351100, Fujian Province, China4. Department of Mathematics, Zhangzhou Normal University, Zhangzhou 363000, Fujian Province, China;5. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, |China
  • Received:2012-05-17 Online:2012-11-26 Published:2012-11-26
  • Contact: YANG Zhongpeng E-mail:yangzhongpeng@126.com

Abstract:

Based on the properties of the rank of the matrix polynomial, the necessary and sufficient conditions of generalized m involutory matrix and (m,l) idempotent matrix were obtained so as to generalize and improve the corresponding results  of m- involutory matrix and m-idempotent matrix.

Key words:  generalized m- involutory matrix; (m,l) idempotent matrix; rank of matrix; necessary and sufficient condition

CLC Number: 

  • O151.21