Eigenvalue problems for a class of infinite complex symmetric tridiagonal matrices with related three-term recurrence relation

DOI10.1016/j.cam.2021.113964zbMath1483.15004OpenAlexW4200256634WikidataQ114201938 ScholiaQ114201938MaRDI QIDQ2074884

Nobuyoshi Asai, Yoshinori Miyazaki

Publication date: 11 February 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113964

zbMATH Keywords

eigenvalue problemthree-term recurrence relationinfinite tridiagonal matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical aspects of recurrence relations (65Q30)

Cites Work

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• Numerical computation of the eigenvalues for the spheroidal wave equation with accurate error estimation by matrix method
• 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 \(m\)
• The eigenvalue problem for infinite complex symmetric tridiagonal matrices with application
• Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative
• Computation of multiple eigenvalues of infinite tridiagonal matrices
• Computational Aspects of Three-Term Recurrence Relations

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