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A global Newton method for the zeros of cylinder functions

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Publication:1281790
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DOI10.1023/A:1019125616736zbMath0921.65037MaRDI QIDQ1281790

Javier Segura

Publication date: 22 March 1999

Published in: Numerical Algorithms (Search for Journal in Brave)


zbMATH Keywords

algorithmconvergenceBessel functioncylinder functionNewton-Raphson iterative methodpositive zeros


Mathematics Subject Classification ID

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 (4)

On the zeros and turning points of special functions. ⋮ Bessel phase functions: calculation and application ⋮ A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions ⋮ ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders






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