Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/559

 Title: Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations Authors: Iliev, Anton Keywords: Simultaneous Roots FindingQuaternary Convergence Issue Date: 1998 Publisher: 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. URI: http://hdl.handle.net/10525/559 ISSN: 1310-6600 Appears in Collections: Volume 24 Number 3-4

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