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September 2017 New seventh and eighth order derivative free methods for solving nonlinear equations
Bhavna Panday, J. P. Jaiswal
Tbilisi Math. J. 10(4): 103-115 (September 2017). DOI: 10.1515/tmj-2017-0049

Abstract

The purpose of this work is to develop two new iterative methods for solving nonlinear equations which does not require any derivative evaluations. These composed formulae have seventh and eighth order convergence and desire only four function evaluations per iteration which support the Kung-Traub conjecture on optimal order for without memory schemes. Finally, numerical comparison is provided to show its effectiveness and performances over other similar iterative algorithms in high precision computation.

Citation

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Bhavna Panday. J. P. Jaiswal. "New seventh and eighth order derivative free methods for solving nonlinear equations." Tbilisi Math. J. 10 (4) 103 - 115, September 2017. https://doi.org/10.1515/tmj-2017-0049

Information

Received: 29 July 2016; Accepted: 20 September 2017; Published: September 2017
First available in Project Euclid: 21 April 2018

zbMATH: 06816537
MathSciNet: MR3724483
Digital Object Identifier: 10.1515/tmj-2017-0049

Subjects:
Primary: 65H05
Secondary: 41A25

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 4 • September 2017
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