On two high-order families of frozen Newton-type methods
- Amat, S. 1
- Argyros, I. 3
- Busquier, S. 1
- Hernández-Verón, M.A. 2
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1
Universidad Politécnica de Cartagena
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2
Universidad de La Rioja
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3
Cameron University
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ISSN: 1070-5325
Year of publication: 2018
Volume: 25
Issue: 1
Type: Article
More publications in: Numerical Linear Algebra with Applications
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Abstract
This paper is devoted to the study of two high-order families of frozen Newton-type methods. The methods are free of bilinear operators, which constitute the main limitation of the classical high-order iterative schemes. Both families are natural generalizations of an efficient third-order method. Although the methods are more demanding, a semilocal convergence analysis is presented using weaker conditions. Copyright © 2017 John Wiley & Sons, Ltd.