A new iterative method for finding the multiple roots of nonlinear equations
- 33 Downloads
In this paper, an iterative method for multiple roots of nonlinear equations is presented. Its convergence order is analyzed and proved. It is shown that the proposed method has third-order convergence. To assess the validity and performance of the proposed method, some nonlinear equations are solved and the results are compared with the results from six other methods.
KeywordsNonlinear equation Newton’s method Multiple roots Iterative method
Mathematics Subject Classification34Axx 49M15 65Hxx 65F08
- 2.Hansanov, V. I., Ivanov, I. G., Nedjibov, G.: A new modification of newton’s method, Application of Mathematics in Engineering’27, Proc. of the XXVII Summer School Sozopol’01 278–286 (2002)Google Scholar
- 7.Fernandez-Torres, G.: A novel geometric modification to the newton-secant method to achieve convergence of order 1+2 and its dynamics, Modelling and Simulation in Engineering 2015, 6 pages (2015) https://doi.org/10.1155/2015/502854