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On the R-Order of Convergence of a Family of Methods for Simultaneous Extraction of Part of All Roots of Algebraic Polynomials
Authors:N Kyurkchiev  A Iliev
Institution:(1) Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G., Bonchev Str., Bl. 8, 1090 Sofia, Bulgaria;(2) Faculty of Mathematics and Informatics, University of Plovdiv, 24, Tsar Assen Str, 4000 Plovdiv, Bulgaria
Abstract:This note deals with the R-order of convergence of Weierstrass-Durand-Kerner-Dochev type single-step methods for the simultaneous determination of only a part of all roots of algebraic polynomials.
Keywords:Total-step method  single-step procedure  spectral radius  R-order of convergence  lower bound
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