Chebyshev method and convexity.
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1
Universidad de La Rioja
info
ISSN: 0096-3003
Argitalpen urtea: 1998
Alea: 95
Zenbakia: 1
Orrialdeak: 51-62
Mota: Artikulua
Beste argitalpen batzuk: Applied Mathematics and Computation
Laburpena
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.