On some iterative methods for solving nonlinear equations

Let \(h(x):=f(x)+g(x)=0\), with \(f\) differentiable and \(g\) continuous, where \(f,g,h:X \rightarrow X\), \(X\) a Banach space.  The Newton method cannot be applied for solving \(h(x)=0\), and we propose an iterative method for solving the nonlinear equation, by combining the Newton method (for...

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Bibliographic Details
Main Author: Emil Cătinaş
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 1994-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/488