A note on the quadratic convergence of the inexact Newton methods

A note on the quadratic convergence of the inexact Newton methods

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We show that a new sufficient condition for the convergence with \(q\)-order two of the inexact Newton iterates may be obtained by considering the normwise backward error of the approximate steps and a result on perturbed Newton methods. This condition is in fact equivalent to the characterization...

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Bibliographic Details
Main Author: Emil Cătinaş
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2000-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
nonlinear systems of equations in \(R^n\)
inexact Newton methods
inexact and perturbed Newton methods
convergence orders
backward errors
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/662

Internet

https://www.ictp.acad.ro/jnaat/journal/article/view/662

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