IJPAM: Volume 64, No. 3 (2010)
METHOD. GLOBAL CONVERGENCE PROPERTIES
Faculty of Mathematics and Informatics
University of Plovdiv ``Paisii Hilendarski''
24, Tsar Assen Str., Plovdiv, 4000, BULGARIA
Abstract.This paper gives sufficient conditions for -th approximations of the zeros of polynomial when the Maehly-Aberth-Ehrlich method fails on the next step. All non-attractive sets are found for the users of this type of methods and this is a further improvement of previously developed methods and known results. Numerical and graphical examples are presented.
Received: September 18, 2010
AMS Subject Classification: 65H05
Key Words and Phrases: polynomial roots, critical initial approximations, Maehly-Aberth-Ehrlich method, divergent sets
Source: International Journal of Pure and Applied Mathematics