A family of fifth-order iterative methods for finding multiple roots of nonlinear equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 2, pp. 213-227

Voir la notice de l'article provenant de la source Math-Net.Ru

We present a family of fifth order iterative methods for finding multiple roots of nonlinear equations. Numerical examples are considered to check the validity of theoretical results. The results show that the new methods are competitive to other methods for multiple roots. Basins of attraction for new methods and some existing methods are drawn to observe the dynamics in the complex plane.
@article{SJVM_2021_24_2_a6,
     author = {J. R. Sharma and H. Arora},
     title = {A family of fifth-order iterative methods for finding multiple roots of nonlinear equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {213--227},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/}
}
TY  - JOUR
AU  - J. R. Sharma
AU  - H. Arora
TI  - A family of fifth-order iterative methods for finding multiple roots of nonlinear equations
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2021
SP  - 213
EP  - 227
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/
LA  - ru
ID  - SJVM_2021_24_2_a6
ER  - 
%0 Journal Article
%A J. R. Sharma
%A H. Arora
%T A family of fifth-order iterative methods for finding multiple roots of nonlinear equations
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2021
%P 213-227
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/
%G ru
%F SJVM_2021_24_2_a6
J. R. Sharma; H. Arora. A family of fifth-order iterative methods for finding multiple roots of nonlinear equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 2, pp. 213-227. http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/