Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 24, No 3-4, (1998), 215p-224p
Abstract:
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 practical point of view.