A structural characterization of real k-potent matrices

作者：Huang, Rong^*; Liu, Jianzhou; Zhu, Li

来源：Linear and Multilinear Algebra, 2011, 59(4): 433-439.

DOI：10.1080/03081081003610777

• sign pattern matrices
• k-potent matrices

Some well-known characterizations of nonnegative k-potent matrices have been obtained by Flor [P. Flor, On groups of nonnegative matrices, Compositio Math. 21 (1969), pp. 376-382.] and Jeter and Pye [M. Jeter and W. Pye, Nonnegative (s, t)-potent matrices, Linear Algebra Appl. 45 (1982), pp. 109-121.]. In this article, we obtain a structural characterization of a real k-potent matrix A, provided that (sgn(A))(k+1) is unambiguously defined, regardless of whether A is nonnegative or not.

• 出版日期2011
• 单位湘潭大学