Geodesic
Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 215-224

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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.
Keywords: Simultaneous Roots Finding, Quaternary Convergence 
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     author = {Iliev, Anton},
     title = {Generalization of {Ehrlich-Kjurkchiev} {Method} for {Multiple} {Roots} of {Algebraic} {Equations}},
     journal = {Serdica Mathematical Journal},
     pages = {215--224},
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     number = {3-4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a0/}
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Iliev, Anton. Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations. Serdica Mathematical Journal, Tome 24 (1998) no. 3-4, pp. 215-224. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_3-4_a0/