![](/images/graphics-bg.png)
Optimal Sixteenth Order Convergent Method Based on Quasi-Hermite Interpolation for Computing Roots
Joint Authors
Kharal, Athar
Hussain, Nawab
Fatimah, Zirwah
Zafar, Fiza
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-12
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We have given a four-step, multipoint iterative method without memory for solving nonlinear equations.
The method is constructed by using quasi-Hermite interpolation and has order of convergence sixteen.
As this method requires four function evaluations and one derivative evaluation at each step, it is optimal in the sense of the Kung and Traub conjecture.
The comparisons are given with some other newly developed sixteenth-order methods.
Interval Newton’s method is also used for finding the enough accurate initial approximations.
Some figures show the enclosure of finitely many zeroes of nonlinear equations in an interval.
Basins of attractions show the effectiveness of the method.
American Psychological Association (APA)
Zafar, Fiza& Hussain, Nawab& Fatimah, Zirwah& Kharal, Athar. 2014. Optimal Sixteenth Order Convergent Method Based on Quasi-Hermite Interpolation for Computing Roots. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1049514
Modern Language Association (MLA)
Zafar, Fiza…[et al.]. Optimal Sixteenth Order Convergent Method Based on Quasi-Hermite Interpolation for Computing Roots. The Scientific World Journal No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1049514
American Medical Association (AMA)
Zafar, Fiza& Hussain, Nawab& Fatimah, Zirwah& Kharal, Athar. Optimal Sixteenth Order Convergent Method Based on Quasi-Hermite Interpolation for Computing Roots. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1049514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049514