Melara, L.
and Kearsley, A.
(2012),
The Radius of Attraction for Newton's Method and TV-Minimization Image Denoising, Applied Mathematics Letters, [online], https://doi.org/10.1016/j.aml.2012.07.016 (Accessed April 26, 2026)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
The Radius of Attraction for Newton's Method and TV-Minimization Image Denoising
Published
Author(s)
Luis A. Melara,
Abstract
This paper presents an estimate of the radius of convergence for Newton's method applied to a regularized TV-minimization problem often employed to denoise images. Strong Fréchet differentiability of this iteration is established and an estimate of the radius of attraction for this method is shown.Citation
Applied Mathematics Letters
Volume
25
Issue
12
Pub Type
Journals
Download Paper
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact [email protected].
Created November 30, 2012, Updated October 12, 2021