Extending the applicability of Newton's and Secant methods under regular smoothness
2021 ◽
Vol 39
(6)
◽
pp. 195-210
Keyword(s):
The concept of regular smoothness has been shown to be an appropriate and powerfull tool for the convergence of iterative procedures converging to a locally unique solution of an operator equation in a Banach space setting. Motivated by earlier works, and optimization considerations, we present a tighter semi-local convergence analysis using our new idea of restricted convergence domains. Numerical examples complete this study.
2017 ◽
Vol 22
(2)
◽
pp. 228-236
2016 ◽
Vol 54
(2)
◽
pp. 37-46
2019 ◽
Vol 18
(1)
◽
pp. 5-19
2017 ◽
Vol 10
(02)
◽
pp. 1750086
2018 ◽