The (m,l)-idempotent matriz and its minimal polynomial

摘要：

We call the matrix A as (m,l) idempotent matrix if there exists the minimum natural number m such that Am > Al, where m > l. On the basis of the fact that the idempotence of matrices is not changed with the number filed, the necessary and sufficient conditions for (m,l) -idempotent matrices are given by the Jordan canonical form and the relationship between the annihilating polynomial xm - xl and minimal polynomial of (m,l) -idempotent matrix is discussed.

关键词： (m,l) -idempotent matriz rank of matriz Jordan canonical form rank indez, minimal polynomial

作者: Zhongpeng Yang Meixiang Chen Wenjing Guo

作者单位: Dept.of Math., Putian University, Putian, Fujian, 351100, China Dept.of Math., Putian University, Putian, Fujian, 351100, China Department of Mathematics, Xiamen Un

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1203-1206

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）