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Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros

✍ Scribed by Proinov, Petko D.; Cholakov, Slav I.


Book ID
122123005
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
439 KB
Volume
236
Category
Article
ISSN
0096-3003

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In this paper, we give the convergence analysis of the Euler-like iterative method for the simultaneous inclusion of all simple real or complex zeros of a polynomial. The established initial conditions provide the safe convergence of the considered method and the fourth order of convergence. These c