ISSN:
0945-3245
Keywords:
AMS(MOS): 65J10
;
41A25
;
41A65
;
CR: 5.15
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Error bounds are given for the iterative computation of the eigenvectors in the Rayleigh-Schrödinger series. These bounds remove the discrepancy in the theoretical behaviour and numerical results, noted by Redont, under the assumption of collectively compact convergence. As a particular case, it follows that the eigenvector in the iterative Galerkin method proposed by Sloan improves upon the eigenvector in the Galerkin method. This is illustrated by numerical experiments.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01400916
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