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.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $$###$$§$$###$ \ddot $estimates are obtained for the approximated eigenvalues.$$
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},
     publisher = {mathdoc},
     volume = {23},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a0/}
}
TY  - JOUR
AU  - Miyazaki, Yoshinori
AU  - Asai, Nobuyoshi
AU  - Cai, Dongsheng
AU  - Ikebe, Yasuhiko
TI  - Numerical computation of the eigenvalues for the spheroidal wave equation with accurate error estimation by matrix method
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 329
EP  - 338
VL  - 23
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__23__a0/
LA  - en
ID  - ETNA_2006__23__a0
ER  - 
%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
%V 23
%I mathdoc
%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/