The Inverse Eigenvalue Problem for a Special Kind of Matrices

摘要：

In this paper we study a kind of inverse eigenvalue problem for a special kind of real symmetric matrices: the real symmetric Arrow-plus-Jacobi matrices. That is, matrices which look like arrow matrices forward and Jacob! Backward, from the (p,p) station, 1?ü p ?ü n.We give a necessary and sufficient condition for the existence of such two matrices. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.

关键词： Symmetric Arrow-plus-Jacobi matrix Eigenvalue Matrix inverse eigenvalue problem

作者: Zhibing Liu Chengfeng Xu Kanmin Wang

作者单位: College of Science,Jiujiang University Jiujiang, China

会议类型: 国际会议

会议名称: The Fourth International Joint Conference on Computational Science and Optimization(第四届计算科学与优化国际大会 CSO 2011)

会议地点: 昆明、丽江

会议语种:英文

页码: 172-174

在线出版日期: 2011-04-15（万方平台首次上网日期，不代表论文的发表时间）