On a New Semilocal Convergence Analysis for the Jarratt Method
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Date
2018
Authors
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Journal ISSN
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Publisher
International Publications internationalpubls@yahoo.com
Abstract
We develop a new semilocal convergence analysis for the Jarratt method. Through our new idea of recurrent functions, we develop new sufficient convergence conditions and tighter error bounds. Numerical examples are also provided in this study. © © 2018 International Publications. All rights reserved.
Description
Keywords
Banach space, Fréchet-derivative, Jarratt method, Majorizing sequence, Newton-type methods, Recurrent functions
Citation
Panamerican Mathematical Journal, 2018, Vol.28, 2, p.72 -90