Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2482

 Title: On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations Authors: Valchanov, NikolaGolev, AngelIliev, Anton Keywords: Polynomial RootsKyurkchiev’s MethodDivergent Sets Issue Date: 2015 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Journal of Computing, Vol. 9, No 1, (2015), 27p-34p Abstract: This paper is dedicated to Prof. Nikolay Kyurkchiev on the occasion of his 70th anniversary This paper gives sufficient conditions for kth approximations of the zeros of polynomial f (x) under which Kyurkchiev’s method fails on the next step. The research is linked with an attack on the global convergence hypothesis of this commonly used in practice method (as correlate hypothesis for Weierstrass–Dochev’s method). Graphical examples are presented. URI: http://hdl.handle.net/10525/2482 ISSN: 1312-6555 Appears in Collections: Volume 9 Number 1

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