TITLE:
Accelerated RHSS Iteration Method for Stabilized Saddle-Point Problems
AUTHORS:
Zhenghui Song, Pingping Zhang
KEYWORDS:
Stabilized Saddle-Point Problems, Regularized Hermitian and Skew-Hermitian Splitting, Iteration Parameters, Convergence Property
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.4,
April
6,
2022
ABSTRACT: For stabilized saddle-point problems, we apply the two iteration parameters idea for regularized Hermitian and skew-Hermitian splitting (RHSS) method and establish accelerated RHSS (ARHSS) iteration method. Theoretical analysis shows that the ARHSS method converges unconditionally to the unique solution of the saddle point problem. Finally, we use a numerical example to confirm the effectiveness of the method.