Article ID Journal Published Year Pages File Type
4642451 Journal of Computational and Applied Mathematics 2007 7 Pages PDF
Abstract

In this paper, we present some new modifications of Newton's method for solving non-linear equations. Analysis of convergence shows that these methods have order of convergence five. Numerical tests verifying the theory are given and based on these methods, a class of new multistep iterations is developed.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
Some modifications of Newton's method with fifth-order convergence
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