Affiliation:
1. Cameron University
2. National Institute of Technology Karnataka
3. Manipal Institute of Technology
Abstract
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.
Publisher
Sociedade Paranaense de Matematica
Reference18 articles.
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5. 5. Cianciaruso, F., A further journey in the ”Terra Incognitta” of the Newton–Kantorovich method, Nonlinear Funct. Anal. Appl., 15, (2010) n0.2, 173-183.