Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-26T11:31:21.737Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Collatz, I.Handbuch der Physik, vol. II, p. 370 (Berlin, 1955).Google Scholar
(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