A NEW IDEA FOR CONSTRUCTING HALLEY'S METHOD
Aram Azizi1, Sarkout Abdi2
1Department of Mathematics
Payame Noor University
P.O. Box 19395-3697, Tehran, I.R. of IRAN
2Department of Science and Engineering
Islamic Azad University
Marivan Branch, Marivan, IRAN
Abstract. In this paper we present a new method for constructing Halley's method. The idea is based on the Newton method, i.e. we change the equation such that applying the Newton method to the new one has at least cubic convergence order.
AMS Subject classification: 26A06, 39B12, 39B22
Keywords and phrases: nonlinear equations, Newton method, order of convergence, Halley's method


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DOI: 10.12732/ijam.v28i2.2

Volume: 28
Issue: 2
Year: 2015