Chebyshev method and convexity.
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Universidad de La Rioja
info
ISSN: 0096-3003
Any de publicació: 1998
Volum: 95
Número: 1
Pàgines: 51-62
Tipus: Article
Altres publicacions en: Applied Mathematics and Computation
Resum
From convexity we obtain new convergence theorems for the Chebyshev method applied to a nonlinear scalar equation f(x) = 0. Moreover, Kantorovich type conditions for the convergence of the Chebyshev method in the complex plane are given. Finally, a new type of assumptions are considered to prove the convergence of this method in Banach spaces. © 1998 Elsevier Science Inc. All rights reserved.