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On Newton’s Method for Solving Nonlinear Equations and Function Splitting
Published online by Cambridge University Press: 28 May 2015
Abstract
We provided in [14] and [15] a semilocal convergence analysis for Newton’s method on a Banach space setting, by splitting the given operator. In this study, we improve the error bounds, order of convergence, and simplify the sufficient convergence conditions. Our results compare favorably with the Newton-Kantorovich theorem for solving equations.
Keywords
- Type
- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 1 , February 2011 , pp. 53 - 67
- Copyright
- Copyright © Global Science Press Limited 2011