IMI-BAS
 

BulDML at Institute of Mathematics and Informatics >
IMI >
Proceedings >
REMIA >
REMIA 2010 >

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, 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.
URI: http://hdl.handle.net/10525/1466
ISBN: 9789544236489
Appears in Collections:REMIA 2010

Files in This Item:

File Description SizeFormat
s0 05. Kyurkchiev,Iliev.pdf288.2 kBAdobe PDFView/Open

 



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! DSpace Software Copyright © 2002-2009  The DSpace Foundation - Feedback