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- Title
An Inertial Parametric Douglas–Rachford Splitting Method for Nonconvex Problems.
- Authors
Lu, Tianle; Zhang, Xue
- Abstract
In this paper, we propose an inertial parametric Douglas–Rachford splitting method for minimizing the sum of two nonconvex functions, which has a wide range of applications. The proposed algorithm combines the inertial technique, the parametric technique, and the Douglas–Rachford method. Subsequently, in theoretical analysis, we construct a new merit function and establish the convergence of the sequence generated by the inertial parametric Douglas–Rachford splitting method. Finally, we present some numerical results on nonconvex feasibility problems to illustrate the efficiency of the proposed method.
- Subjects
ALGORITHMS; TECHNOLOGY convergence; MOTION capture (Human mechanics)
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 5, p675
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12050675