Copositive matrices with Perron-Frobenius property

摘要：

It is shown in 3 that the spectral radii of each copositive matrix is also its eigenvalue. In 2,the authors gives the problem of characterizing the copositive matrices with Perron-Frobenius (PF-) property,where they also present some sufficient conditions for a copositive matrix possessing this property. We focus on the copositive matrices with PF-property, which is not entrywise nonnegative, and obtain necessary and sufficient conditions for copositive matrices of order 2 and 3 to have PF-property.

关键词： Copositive PF-Property M-matrices Eigenvalue Spectral radii

作者: Shangjun Yang Changqing Xu

作者单位: School of Mathematical Science, Anhui University, Hefei, 230039,China Department of Applied Mathematics, Zhejiang Forestry University, Hangzhou, 311300, China

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: 1169-1172

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）