Spectral clustering properties of block multilevel Hankel matrices

被引：29
作者：
Fasino, D
Tilli, P
机构：
[1] Univ Udine, Dipartimento Matemat & Informat, I-363100 Udine, Italy
[2] Scuola Normale Super Pisa, I-56100 Pisa, Italy
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 306卷 / 1-3期
关键词：
Hankel matrices; asymptotic spectral distribution;
D O I：
10.1016/S0024-3795(99)00251-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of recent results concerning spectral distributions of Toeplitz matrices, we show that the singular values of a sequence of block p-level Hankel matrices H-n(mu), generated by a p-variate, matrix-valued measure mu whose singular part is finitely supported, are always clustered at zero, thus extending a result known when p = 1 and mu is real valued and Lipschitz continuous. The theorems hold for both eigenvalues and singular values; in the case of singular values, we allow the involved matrices to be rectangular. (C) 2000 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：155 / 163
页数：9
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