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A property of an iteration process

Published online by Cambridge University Press:  09 April 2009

J. N. Lyness
J. N. Lyness
Affiliation:
Department of Applied Mathematics, The University of New South Wales, Kensington, N.S.W., Australia.
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Abstract

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The familiar variation-iteration method for solving the eigenvalue equation Cψ = λBψ (C and B are Hermitean operators), is applied to a case in which the operator C, and hence also the eigenvalues λ, depend on a continuous parameter a. It is shown that certain exact properties of the functions λ = λ(a) can be deduced from low-order results in the variation-iteration scheme.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 2 , Issue 2 , October 1961 , pp. 189 - 194
Copyright
Copyright © Australian Mathematical Society 1961

References

[1]Lyness, J. N. and Blatt, J. M., J. Aust. Math. Soc.Google Scholar