A note on Perron-Frobenius properties of Matrices
In this note, we study the matrix which possesses the Perron-Frobenius property having some negative entries. In the early paper (On Perron-Frobenious prpperty of matrices having some negative entries), the following result has been given. For A ∈n×n , the following statements are equivalent. (1)Both matrices A and AT possess the strong Perron-Frobenius property; (2) A is an eventually positive matrix; (3) A is an eventually positive matrix. We here give new proof.
Perron-Frobenious property eventually nonnegative eventually positive
Yanping Zheng
Department of Mathematics, Taiyuan Normal University, Taiyuan 310012
国际会议
The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)
杭州
英文
1426-1429
2009-07-09(万方平台首次上网日期,不代表论文的发表时间)