Generalization of Ehrlich-Kjurkchiev method for multiple roots of algebraic equations

Details Generalization of Ehrlich-Kjurkchiev method for multiple roots of algebraic equations Generalization of Ehrlich-Kjurkchiev method for multiple roots of algebraic equations

2001-04-25

arxiv.org/abs/math/0104237v1

Serdica Math. J. 24, No 3-4, 1998, 215-224

Mathematics

Numerical Analysis

7 pages

Scientific paper

In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from the practical point of view.

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