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Numerical comparison of two different single step iterative methods in complex plane for finding basins of attraction.

Authors :
Mandal, Goutam
Thander, Anup Kumar
Dey, Saptarshi
Source :
AIP Conference Proceedings. 2023, Vol. 2876 Issue 1, p1-6. 6p.
Publication Year :
2023

Abstract

In this research wok, two distinct iterative methods are compared for finding roots of polynomials in complex plane. Basins of attraction has been derived using five different complex polynomials. Also CPU time comparison has been done to construct these basins of attraction using Newton's method and modified Newton's method. Numerical result shows that the modified Newton's method performs well in almost all cases with respect to Newton's method. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*NEWTON-Raphson method

Details

Language :
English
ISSN :
0094243X
Volume :
2876
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
171344175
Full Text :
https://doi.org/10.1063/5.0166679