A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation
Keyword(s):
We construct a new general class of derivative freen-point iterative methods of optimal order of convergence2n-1using 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 computations are presented to show that the new methods are efficient and can be seen as better alternates.
2018 ◽
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pp. 1850010
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1999 ◽
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