Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative

DOI10.1090/S0025-5718-00-01241-2zbMath0971.34075OpenAlexW1996054349MaRDI QIDQ2719073

Dong Sheng Cai, Yasuhiko Ikebe, Yoshinori Miyazaki, Yasushi Kikuchi

Publication date: 14 May 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01241-2

zbMATH Keywords

error estimatethree-term recurrence relationsCoulomb wave functioneigenvalue problem for infinite matrices

Mathematics Subject Classification ID

Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ Special functions and spectrum of Jacobi matrices ⋮ Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions ⋮ 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 ⋮ Turán type inequalities for regular Coulomb wave functions

Uses Software

• EISPACK

Cites Work

• Unnamed Item
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• 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 Zeros of Regular Coulomb Wave Functions and of Their Derivative
• Computational Aspects of Three-Term Recurrence Relations
• Asymptotic expansions of Coulomb wave functions