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PUBLICATIONS

The Radius of Attraction for Newton's Method and TV-Minimization Image Denoising

Published

Author(s)

Luis A. Melara, Anthony J. Kearsley

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

DOI Link
Mathematics and statistics

Citation

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 October 14, 2025)

Issues

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Created November 30, 2012, Updated October 12, 2021
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