Chebyshev method and convexity.
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Universidad de La Rioja
info
ISSN: 0096-3003
Ano de publicación: 1998
Volume: 95
Número: 1
Páxinas: 51-62
Tipo: Artigo
Outras publicacións en: Applied Mathematics and Computation
Resumo
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.