Solving a special case of conservative problems by Secant-like methods
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Universidad de La Rioja
info
ISSN: 0096-3003
Year of publication: 2005
Volume: 169
Issue: 2
Pages: 926-942
Type: Article
More publications in: Applied Mathematics and Computation
Abstract
We study a class of Secant-like iterations for solving nonlinear equations in Banach spaces. A semilocal convergence result is obtained, where the first order divided difference of the nonlinear operator is Hölder continuous. For that, we use a technique based on a new system of recurrence relations to obtain existence-uniqueness domains of the solution and a priori error bounds. These results are applied to solve a special case of conservative problems. © 2004 Elsevier Inc. All rights reserved.