A modification of Cauchy's method for quadratic equations
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Universidad de La Rioja
info
ISSN: 0022-247X
Year of publication: 2008
Volume: 339
Issue: 2
Pages: 954-969
Type: Article
More publications in: Journal of Mathematical Analysis and Applications
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Abstract
The plan of this paper is to obtain one-point iterative methods with any R-order of convergence, when they are applied to approximate solutions of quadratic equations in Banach spaces. To do this, we consider real Cauchy's method and, under certain natural modifications, it is extended to Banach spaces. Some applications are also provided. © 2007 Elsevier Inc. All rights reserved.