Computation of multiple eigenvalues of infinite tridiagonal matrices
DOI10.1090/S0025-5718-03-01555-2zbMath1065.65056OpenAlexW2145073181MaRDI QIDQ4452157
Dong Sheng Cai, Yoshinori Miyazaki, Yasushi Kikuchi, Nobuyoshi Asai, Yasuhiko Ikebe
Publication date: 12 February 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01555-2
algorithmNewton's methoderror boundszeros of Bessel functionsdouble eigenvaluesMathieu differential equationinfinite tridiagonal matrices
Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Computation of special functions and constants, construction of tables (65D20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical approximation and evaluation of special functions (33F05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (2)
Cites Work
- 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
- A Complete Method for the Computations of Mathieu Characteristic Numbers of Integer Orders
- Computational Aspects of Three-Term Recurrence Relations
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