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On error bounds in strong approximations for eigenvalue problems

Published online by Cambridge University Press:  17 February 2009

R. P. Kulkarani  and
B. V. Limaye
R. P. Kulkarani
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay 400076, India
B. V. Limaye
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay 400076, India
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Abstract

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Some corrections of error bounds obtained by Chatelin and Lemordant for the first three terms of the asymptotic case of a strong approximation are given. The error bounds for the approximations of order 2 in the Galerkin method are compared with the Rayleigh quotients constructed with the eigenvectors in the Sloan method. A numerical experiment is also carried out.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 3 , January 1981 , pp. 270 - 283
Copyright
Copyright © Australian Mathematical Society 1981

References

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