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Computation of eigenvectors corresponding to multiple eigenvalues

Published online by Cambridge University Press:  17 April 2009

A.L. Andrew  and
G.C. Elton
A.L. Andrew
Affiliation:
La Trobe University, Bundoora, Victoria.
G.C. Elton
Affiliation:
La Trobe University, Bundoora, Victoria.
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Abstract

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This paper examines a class of common numerical methods for computing eigenvectors of a compact linear operator. A necessary and sufficient condition is established for every element of an arbitrary given eigenspace to be the limit of a sequence of the approximate eigenvectors obtained by any given method in this class.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 3 , June 1971 , pp. 419 - 422
Copyright
Copyright © Australian Mathematical Society 1971

References

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