Extending the applicability of a seventh-order method for equations under generalized conditions
Applicationes Mathematicae, Tome 50 (2023) no. 2, pp. 167-175
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We extend the applicability of a seventh-order method for solving Banach space-valued equations. This is achieved by using generalized conditions on the first derivative which only appears in the method. Earlier works use conditions up to the eighth derivative to establish convergence. Our technique is very general and can be used to extend the applicability of other methods along the same lines.
Keywords:
extend applicability seventh order method solving banach space valued equations achieved using generalized conditions first derivative which only appears method earlier works conditions eighth derivative establish convergence technique general extend applicability other methods along lines
Affiliations des auteurs :
Samundra Regmi 1 ; Ioannis K. Argyros 2 ; Santhosh George 3 ; Christopher Argyros 4
@article{10_4064_am2439_2_2023,
author = {Samundra Regmi and Ioannis K. Argyros and Santhosh George and Christopher Argyros},
title = {Extending the applicability of a seventh-order method for equations under generalized conditions},
journal = {Applicationes Mathematicae},
pages = {167--175},
year = {2023},
volume = {50},
number = {2},
doi = {10.4064/am2439-2-2023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am2439-2-2023/}
}
TY - JOUR AU - Samundra Regmi AU - Ioannis K. Argyros AU - Santhosh George AU - Christopher Argyros TI - Extending the applicability of a seventh-order method for equations under generalized conditions JO - Applicationes Mathematicae PY - 2023 SP - 167 EP - 175 VL - 50 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/am2439-2-2023/ DO - 10.4064/am2439-2-2023 LA - en ID - 10_4064_am2439_2_2023 ER -
%0 Journal Article %A Samundra Regmi %A Ioannis K. Argyros %A Santhosh George %A Christopher Argyros %T Extending the applicability of a seventh-order method for equations under generalized conditions %J Applicationes Mathematicae %D 2023 %P 167-175 %V 50 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/am2439-2-2023/ %R 10.4064/am2439-2-2023 %G en %F 10_4064_am2439_2_2023
Samundra Regmi; Ioannis K. Argyros; Santhosh George; Christopher Argyros. Extending the applicability of a seventh-order method for equations under generalized conditions. Applicationes Mathematicae, Tome 50 (2023) no. 2, pp. 167-175. doi: 10.4064/am2439-2-2023
Cité par Sources :