A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation
We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. The special cases of this class are obtained. These methods do not need Newton’s iterate in the first step of their iterative schemes. Numerical computation...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2015-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2015/934260 |