A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation

Joint Authors

Yasmin, Nusrat
Junjua, Moin-ud-Din
Akram, Saima
Zafar, Fiza

Source

The Scientific World Journal

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-01-28

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

We construct a new general class of derivative free n -point iterative methods of optimal order of convergence 2 n - 1 using 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.

American Psychological Association (APA)

Zafar, Fiza& Yasmin, Nusrat& Akram, Saima& Junjua, Moin-ud-Din. 2015. A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation. The Scientific World Journal،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1079298

Modern Language Association (MLA)

Zafar, Fiza…[et al.]. A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation. The Scientific World Journal No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1079298

American Medical Association (AMA)

Zafar, Fiza& Yasmin, Nusrat& Akram, Saima& Junjua, Moin-ud-Din. A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation. The Scientific World Journal. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1079298

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1079298