A note on the quadratic convergence of the inexact Newton methods
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...
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: | |
Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/662 |
Similar Items
-
A note on the quadratic convergence of the inexact Newton methods
by: Emil Cătinaş
Published: (2000-08-01) -
Affine invariant conditions for the inexact perturbed Newton method
by: Emil Cătinaş
Published: (2002-02-01) -
Relationship between the inexact Newton method and the continuous analogy of Newton's method
by: T. Zhanlav, et al.
Published: (2011-08-01) -
On the high convergence orders of the Newton-GMBACK methods
by: Emil Cătinaş
Published: (1999-08-01) -
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusions
by: Catherine Cabuzel, et al.
Published: (2015-01-01)