ON JARRATT'S FAMILY OF OPTIMAL FOURTH-ORDER ITERATIVE METHODS AND THEIR DYNAMICS-Reference-Cited by-同舟云学术

ON JARRATT'S FAMILY OF OPTIMAL FOURTH-ORDER ITERATIVE METHODS AND THEIR DYNAMICS

Published:2014-11-12 Issue:04 Volume:22 Page:1450013
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

Chun Changbum¹,Neta Beny²,Kim Sujin¹

Affiliation:

1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

2. Naval Postgraduate School, Department of Applied Mathematics, Monterey, CA 93943, USA

Abstract

P. Jarratt has developed a family of fourth-order optimal methods. He suggested two members of the family. The dynamics of one of those was discussed previously. Here we show that the family can be written using a weight function and analyze all members of the family to find the best performer.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X14500133

Reference16 articles.

1. Methodus nova accurata & facilis inveniendi radices æqnationum quarumcumque generaliter, sine praviæ reductione

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