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On iterative solutions of algebraic equations

Published online by Cambridge University Press:  24 October 2008

C. Domb
C. Domb
Affiliation:
Pembroke CollegeCambridge
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Extract

1. In a recent paper (1) Hartree has given a systematic classification of iterative processes, and has shown how to construct processes of any order for the solution of equations of the form

where p is a positive or negative integer. It is the purpose of the present note to describe general methods of generating iterative processes, and in particular to show how to construct processes of any order for the solution of algebraic equations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 2 , April 1949 , pp. 237 - 240
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

REFERENCES

(1)Hartree, D. R.Proc. Cambridge Phil. Soc. 45 (1949), 230–236.CrossRefGoogle Scholar
(2)Bôcher, M.Introduction to Higher Algebra (London, 1924).Google Scholar
(3)Whittaker, E. T. and Robinson, G.The Calculus of Observations (Glasgow, 1926).Google Scholar