Tbilisi Mathematical Journal

Two step Newton and Steffensen type methods for solving non-linear equations

Divya Jain and Babita Gupta

Full-text: Open access

Abstract

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.

Article information

Source
Tbilisi Math. J., Volume 5, Issue 1 (2012), 17-29.

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

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528768886

Mathematical Reviews number (MathSciNet)
MR2950183

Zentralblatt MATH identifier
1282.65055

Subjects
Primary: 65H05: Single equations

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

Citation

Jain, Divya; Gupta, Babita. Two step Newton and Steffensen type methods for solving non-linear equations. Tbilisi Math. J. 5 (2012), no. 1, 17--29. https://projecteuclid.org/euclid.tbilisi/1528768886


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