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Notes on Numerical Analysis I. Polynomial Iteration

Published online by Cambridge University Press:  20 November 2018

Hans Schwerdtfeger
Hans Schwerdtfeger*
Affiliation:
McGill University
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Let f(x) be a real analytic function of the real variable x and α a simple root of the equation f(x) = 0. It is well known that a function ϕ(x) can be associated with the equation in many different ways such that

  1. (i) α is a root of the equation ϕ(x), i.e. α is a fixed point (invariant point) of the function ϕ(x);

  2. (ii)

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 2 , Issue 2 , 01 May 1959 , pp. 97 - 110
Copyright
Copyright © Canadian Mathematical Society 1959

References

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