Geodesic
Numerical computation of the eigenvalues for the spheroidal wave equation with accurate error estimation by matrix method
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 329-338
A method to compute the eigenvalues of the spheroidal wave equations is proposed, as an application of a theorem on eigenvalues of certain classes of infinite matrices. The computation of its inverse problem (namely, solving another parameter for given eigenvalue ) is likewise given. As a result, precise and explicit error

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Classification : 34L16
Keywords: spheroidal wave equation, eigenvalue, numerical computation, error estimate, infinite symmetric tridiagonal matrix 
@article{ETNA_2006__23__a0,
     author = {Miyazaki,  Yoshinori and Asai,  Nobuyoshi and Cai,  Dongsheng and Ikebe,  Yasuhiko},
     title = {Numerical computation of the eigenvalues for the spheroidal wave equation with accurate error estimation by matrix method},
     journal = {Electronic transactions on numerical analysis},
     pages = {329--338},
     year = {2006},
     volume = {23},
     zbl = {1112.65072},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a0/}
}
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AU  - Cai,  Dongsheng
AU  - Ikebe,  Yasuhiko
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JO  - Electronic transactions on numerical analysis
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EP  - 338
VL  - 23
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__23__a0/
LA  - en
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%0 Journal Article
%A Miyazaki,  Yoshinori
%A Asai,  Nobuyoshi
%A Cai,  Dongsheng
%A Ikebe,  Yasuhiko
%T Numerical computation of the eigenvalues for the spheroidal wave equation with accurate error estimation by matrix method
%J Electronic transactions on numerical analysis
%D 2006
%P 329-338
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%U http://geodesic.mathdoc.fr/item/ETNA_2006__23__a0/
%G en
%F ETNA_2006__23__a0
Miyazaki,  Yoshinori; Asai,  Nobuyoshi; Cai,  Dongsheng; Ikebe,  Yasuhiko. Numerical computation of the eigenvalues for the spheroidal wave equation with accurate error estimation by matrix method. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 329-338. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a0/