On the spectrum of banded Hankel matrices

被引：2

作者：

Angerer, Wolfgang P.

机构：

[1] not available, 6200 Jenbach

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 05期

关键词：

Toeplitz matrix; Hankel matrix; Chebyshev polynomials; SYMMETRIC TOEPLITZ MATRICES; EIGENVALUES;

D O I：

10.1016/j.laa.2013.04.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a weak limit law for the distribution of eigenvalues of a tridiagonal Hankel matrix. The result is given in terms of the push-forward of an arcsine density under a combination of Chebyshev polynomials. We also advance a conjecture concerning Hankel matrices with more than three non-zero skew diagonals. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1496 / 1505

页数：10

共 8 条

[1] Eigenvalues of a statistical mechanics matrix [J].