How to increase convergence order of Newton's method to $2\times m$?
Numerical Analysis
2009-12-22 v1 Mathematical Physics
math.MP
Abstract
We present a simple yet powerful technique for forming iterative methods of various convergence orders. Methods of various convergence orders (four, six, eight and ten) are formed through a modest modification of the classical Newton method. The technique can be easily implemented in existing software packages as suggested by the presented C algorithm. Finally some problems are solved through the proposed algorithm.
Cite
@article{arxiv.0912.4140,
title = {How to increase convergence order of Newton's method to $2\times m$?},
author = {Sanjay Kumar Khattri},
journal= {arXiv preprint arXiv:0912.4140},
year = {2009}
}
Comments
10 pages, 0 figures