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Zbl 0805.65037
Ikebe, Yasuhiko; Kikuchi, Yasushi; Fujishiro, Issei; Asai, Nobuyoshi; Takanashi, Kouichi; Harada, Minoru
The eigenvalue problem for infinite compact complex symmetric matrices with application to the numerical computation of complex zeros of $J\sb 0(z)- iJ\sb 1(z)$ and of Bessel functions $J\sb m(z)$ of any real order $m$. (English)
[J] Linear Algebra Appl. 194, 35-70 (1993). ISSN 0024-3795

Eigenvalues of an infinite complex symmetric matrix are computed as limits of the eigenvalues of its leading submatrices. Convergence properties of this sequence are investigated, and the computation of the zeros of a combination of Bessel functions is used as a numerical example.
[A.Ruhe (Göteborg)]

MSC 2000:: *65F15 Eigenvalues (numerical linear algebra)
65D20 Computation of special functions
65H05 Single nonlinear equations (numerical methods)
33C10 Cylinder functions, etc.

Keywords: eigenvalues; convergence; infinite complex symmetric matrix; zeros; Bessel functions; numerical example

Cited in: Zbl 0971.34075 Zbl 0828.65013

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