Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1466

 Title: On The Critical Points of some Iteration Methods for Solving Algebraic Equations. Global Convergence Properties Authors: Kyurkchiev, NikolayIliev, Anton Keywords: Polynomial RootsCritical Initial ApproximationsMaehly-Aberth-Ehrlich MethodWerner-Borsch-Supan MethodTanabe MethodImproved Borsch-Supan MethodDivergent Sets Issue Date: 22-Nov-2010 Publisher: University Press "Paisii Hilendarski", Plovdiv Abstract: In this work we give su±cient conditions for k-th approximations of the polynomial roots of f(x) when the Maehly{Aberth{Ehrlich, Werner-Borsch-Supan, Tanabe, Improved Borsch-Supan iteration methods fail on the next step. For these methods all non-attractive sets are found. This is a subsequent improvement of previously developed techniques and known facts. The users of these methods can use the results presented here for software implementation in Distributed Applications and Simulation Environ- ments. Numerical examples with graphics are shown. URI: http://hdl.handle.net/10525/1466 ISBN: 9789544236489 Appears in Collections: REMIA 2010

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