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arXiv · 2112.00389

An inexact primal-dual method with correction step for a saddle point problem in image debluring

Changjie Fang·Liliang Hu·Shenglan Chen
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Abstract

In this paper,we present an inexact primal-dual method with correction step for a saddle point problem by introducing the notations of inexact extended proximal operators with symmetric positive definite matrix $D$. Relaxing requirement on primal-dual step sizes, we prove the convergence of the proposed method. We also establish the $O(1/N)$ convergence rate of our method in the ergodic sense. Moreover, we apply our method to solve TV-L$_1$ image deblurring problems. Numerical simulation results illustrate the efficiency of our method.

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Changjie Fang, Liliang Hu, Shenglan Chen. 2021-12-01. An inexact primal-dual method with correction step for a saddle point problem in image debluring. https://arxiv.org/abs/2112.00389

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