On the Eigenstructure of Hermitian Toeplitz Matrices with Prescribed Eigenpairs

摘要：

Toeplitz matrices have found important applications in bioinformatics and computational biology 5, 6, 11, 12. In this paper we concern the spectral properties of hermitian Toeplitz matrices. Based on the fact that every centrohermitian matrix can be reduced to a real matrix by a simple similarity transformation, we first consider the eigenstructure of hermitian Toeplitz matrices and then discuss a related inverse eigenproblem. We show that the dimension of the subspace of hermitian Toeplitz matrices with two given eigenvectors is at least two and independent of the size of the matrix, the solution of the inverse hermitian Toeplitz eigenproblem with two given eigenpairs is unique.

关键词： Centrohermitian matriz hermitian Toeplitz matriz eigenstructure inverse eigenproblems

作者: Zhongyun Liu Jing Li Yulin Zhang

作者单位: School of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha,H Department of Mathematics,University of Minho,Campus de Gualtar,4710-057 Braga,Portugal

会议类型: 国际会议

会议名称: The 8th International Symposium on Operations Research and Its Applications(第八届运筹及其应用国际专题讨论会 ISORA09)

会议地点: 张家界

会议语种:英文

页码: 298-305

在线出版日期: 2009-09-20（万方平台首次上网日期，不代表论文的发表时间）