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 \(m\)

DOI10.1016/0024-3795(93)90112-2zbMath0805.65037OpenAlexW2060364153MaRDI QIDQ1318216

Yasushi Kikuchi, Kouichi Takanashi, Minoru Harada, Issei Fujishiro, Yasuhiko Ikebe, Nobuyoshi Asai

Publication date: 22 January 1995

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90112-2

zbMATH Keywords

convergencenumerical exampleeigenvalueszerosBessel functionsinfinite complex symmetric matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

The eigenvalue problem for infinite complex symmetric tridiagonal matrices with application, Calcolo degli autovalori di matrici tridiagonali non normali, Special functions and spectrum of Jacobi matrices, Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative, Computation of multiple eigenvalues of infinite tridiagonal matrices, Eigenvalue problems for a class of infinite complex symmetric tridiagonal matrices with related three-term recurrence relation

Uses Software

• EISPACK

Cites Work

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