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An Extended Newton-Type Method In R And Polynomiography Via Different Iterative Methods

General Mathematics 2017-06-27 v1

Abstract

The aim of this paper is to introduce a new Newton-type iterative method and then to show that this process converges to the unique solution of the scalar nonlinear equation f(x)=0 under weaker conditions involving only f and f' by fixed point techniques. Also, by using this iteration process quite new nicely looking graphics are obtained.

Keywords

Cite

@article{arxiv.1706.08400,
  title  = {An Extended Newton-Type Method In R And Polynomiography Via Different Iterative Methods},
  author = {Nazli Karaca and Isa Yildirim},
  journal= {arXiv preprint arXiv:1706.08400},
  year   = {2017}
}