The Radius of Attraction for Newton's Method and TV-Minimization Image Denoising
Luis A. Melara, Anthony J. Kearsley
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.
and Kearsley, A.
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 December 11, 2023)