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Title: On The Critical Points of some Iteration Methods for Solving Algebraic Equations. Global Convergence Properties
Authors: Kyurkchiev, Nikolay
Iliev, Anton
Keywords: Polynomial Roots
Critical Initial Approximations
Maehly-Aberth-Ehrlich Method
Werner-Borsch-Supan Method
Tanabe Method
Improved Borsch-Supan Method
Divergent 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.
ISBN: 9789544236489
Appears in Collections:REMIA 2010

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