Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices
type: Item
instance of: scholarly article
title: Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices
zbMATH Open document ID: 0942.15006
DOI: 10.1016/S0024-3795(99)00080-4
author: William F. Trench
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: The author gives the asymptotic distribution of the spectrum of a generalized Kac-Murdock-Szegö matrix \(T\) of the order \(n\to\infty\) with entries \(t_{ij}= \alpha r^{|i-j |}+ \beta/r^{|i-j|}\), where \(\alpha\) and \(\beta\) are real and \(0<r<1\).
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1371398
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: eigenvalues
zbMATH Keywords: asymptotic distribution
zbMATH Keywords: spectrum
zbMATH Keywords: generalized Kac-Murdock-Szegö matrix
reviewed by: Z. Dostál
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1371398