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A method for improving iteration procedures

Published online by Cambridge University Press:  24 October 2008

Irwin Manning
Irwin Manning
Affiliation:
U.S. Naval Research Laboratory, Washington, D.C.
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Abstract

A technique is developed for improving the speed and range of convergence of iteration procedures. The method is shown to include, as special cases, Newton's method and Aitken's δ2-acceleration process.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 183 - 186
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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(2)Manning, I.Phys. Rev. 139 (1965), B495–500.Google Scholar
(3)Hartree, D. R.Numerical analysis, Chap. 9 (London, 1958).Google Scholar
(4)Hartree, D. R.Proc. Cambridge Philos. Soc. 45 (1948), 230.CrossRefGoogle Scholar