Generalization of Ramanujan Method of Approximating root of an equation
Numerical Analysis
2011-12-22 v1
Abstract
We generalize Ramanujan method of approximating the smallest root of an equation which is found in Ramanujan Note books, Part-I. We provide simple analytical proof to study convergence of this method. Moreover, we study iterative approach of this method on approximating a root with arbitrary order of convergence.
Keywords
Cite
@article{arxiv.1112.5092,
title = {Generalization of Ramanujan Method of Approximating root of an equation},
author = {Ramesh Kumar Muthumalai},
journal= {arXiv preprint arXiv:1112.5092},
year = {2011}
}
Comments
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