A new method for solving polynomial equations
Open Access
- 1 January 1968
- journal article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 11 (1) , 87-90
- https://doi.org/10.1093/comjnl/11.1.87
Abstract
An iterative method for finding the zeros of a polynomial f(z) is given, based on approximating f(z)/f′(z) by a bilinear form. The method has high order convergence for both simple and repeated zeros (whatever the multiplicity) and takes very few iterations (average < 15) per zeros however ‘difficult’ the polynomial.Keywords
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