Q1318216
type: Item
instance of: scholarly article
title: The eigenvalue problem for infinite compact complex symmetric matrices with application to the numerical computation of complex zeros of \(J_ 0(z)- iJ_ 1(z)\) and of Bessel functions \(J_ m(z)\) of any real order \(m\)
zbMATH Open document ID: 0805.65037
DOI: 10.1016/0024-3795(93)90112-2
author: Yasuhiko Ikebe
author: Yasushi Kikuchi
author: Issei Fujishiro
author: Nobuyoshi Asai
author: Kouichi Takanashi
author: Minoru Harada
published in: Linear Algebra and its Applications
publication date: 1995-01-22T00:00:00Z
review text: Eigenvalues of an infinite complex symmetric matrix are computed as limits of the eigenvalues of its leading submatrices. Convergence properties of this sequence are investigated, and the computation of the zeros of a combination of Bessel functions is used as a numerical example.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 540056
zbMATH Keywords: eigenvalues
zbMATH Keywords: convergence
zbMATH Keywords: infinite complex symmetric matrix
zbMATH Keywords: zeros
zbMATH Keywords: Bessel functions
zbMATH Keywords: numerical example
reviewed by: Axel Ruhe
describes a project that uses: EISPACK
MaRDI profile type: Publication
full work available at URL: 0024-3795(93)90112-2
OpenAlex ID: W2060364153
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label: The eigenvalue problem for infinite compact complex symmetric matrices with application to the numerical computation of complex zeros of \(J_ 0(z)- iJ_ 1(z)\) and of Bessel functions \(J_ m(z)\) of any real order \(m\)
description: scientific article; zbMATH DE number 540056