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2012 Two step Newton and Steffensen type methods for solving non-linear equations
Divya Jain, Babita Gupta
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Tbilisi Math. J. 5(1): 17-29 (2012). DOI: 10.32513/tbilisi/1528768886


Families of Newton type methods for solving non-linear equations are obtained. These families consist of second and third order methods. Concrete two step methods are presented which are obtained as a unification of some existing methods in the literature and the standard secant method. It is shown that by this unification, the order of convergence of the methods increases. All the methods presented in this paper are well supported by examples.


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Divya Jain. Babita Gupta. "Two step Newton and Steffensen type methods for solving non-linear equations." Tbilisi Math. J. 5 (1) 17 - 29, 2012.


Received: 12 March 2011; Revised: 16 April 2012; Accepted: 30 April 2012; Published: 2012
First available in Project Euclid: 12 June 2018

zbMATH: 1282.65055
MathSciNet: MR2950183
Digital Object Identifier: 10.32513/tbilisi/1528768886

Primary: 65H05

Keywords: derivative free method , Newton method , order of convergence , secant method , Steffensen method

Rights: Copyright © 2012 Tbilisi Centre for Mathematical Sciences


Vol.5 • No. 1 • 2012
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