On the local convergence of a secant like method in a banach space under weak conditions
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Date
2016
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Publisher
International Publications internationalpubls@yahoo.com
Abstract
We present a local convergence analysis of a Secant-like method in a Banach space setting. The method is used to approximate a solution of a nonlinear equation. The sufficient convergence conditions are weaker than in earlier studies. Numerical examples are also given in this work. © 2016 International Publications. All rights reserved.
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Keywords
Banach space, divided difference of order one, Fréchet-derivative, Local convergence, Secant-like method
Citation
Panamerican Mathematical Journal, 2016, 26, 4, pp. 89-99