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A method of evaluating the complex zeros of polynomials using polar coordinates

Published online by Cambridge University Press:  24 October 2008

W. F. Bodmer
W. F. Bodmer
Affiliation:
Department of GeneticsUniversity of Cambridge
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Extract

Methods for finding complex roots numerically may broadly be classified into the following three types.

(a) Direct methods. These require no knowledge of an initial approximation. The best known are Graeffe's ‘root-squaring’ method (see, for example, Whittaker and Robinson(17)) and Bernoulli's method extended to complex roots (Aitken(1)). Fry (8) gives an interesting method for finding the characteristic roots of a matrix, originally due to Duncan and Collar (5), (6), which contains the above-mentioned methods as special cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 1 , January 1962 , pp. 52 - 56
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

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