Chebyshev method and convexity.
-
1
Universidad de La Rioja
info
ISSN: 0096-3003
Year of publication: 1998
Volume: 95
Issue: 1
Pages: 51-62
Type: Article
More publications in: Applied Mathematics and Computation
Abstract
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.