Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 232
An alternating direction method of multipliers for total variation inverse problems using the conditional gradient.
Karim Kreit, Abdeslem Hafid Bentbib and Abderrahman Bouhamidi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2204
April 15, 2204

Abstract: In this paper, we study the ill-posed problem using the total variation regularization. To solve such a problem, we use an alternating direction method of multipliers to split our problem to two interactive sub-problems. The novelty of our paper is in the use of the conditional gradient total variation method (CGTV) [1] we have recently introduced. The second splitting sub-problem is solved by transforming the obtained optimization problem to a general Sylvester matrix equation and then an orthogonal projection method is used to solve the obtained matrix equation. We give the proof of the ...