A note on Perron-Frobenius properties of Matrices

摘要：

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.

关键词： Perron-Frobenious property eventually nonnegative eventually positive

作者: Yanping Zheng

作者单位: Department of Mathematics, Taiyuan Normal University, Taiyuan 310012

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: 1426-1429

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）