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Liuyi Miao, Yuchao Tang, Changlong Wang, A parameterized three-operator splitting algorithm for non-convex minimization problems with applications

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DOI: 10.23952/jnva.8.2024.3.07

Volume 8, Issue 3, 1 June 2024, Pages 451-471

 

Abstract. In this paper, we propose a parameterized three-operator splitting algorithm to solve non-convex minimization problems with the sum of three non-convex functions, where two of them have Lipschitz continuous gradients. We establish the convergence of the proposed algorithm under the Kurdyka-Łojasiewicz assumption by constructing a suitable energy function with a non-increasing property. As applications, we employ the proposed algorithm to solve low-rank matrix recovery and image inpainting problems. Numerical results demonstrate the efficiency and effectiveness of the proposed algorithm compared to other algorithms.

 

How to Cite this Article:
L. Miao, Y. Tang, C. Wang, A parameterized three-operator splitting algorithm for non-convex minimization problems with applications, J. Nonlinear Var. Anal. 8 (2024), 451-471.