Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 5, Issue 1 (2012), 17-29.
Two step Newton and Steffensen type methods for solving non-linear equations
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.
Tbilisi Math. J., Volume 5, Issue 1 (2012), 17-29.
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
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 65H05: Single equations
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