Article citationsMore>>

Benzi, M., Golub, G.H. and Liesen, J. (2005) Numerical Solution of Saddle Point Problems. Acta Numerica, 14, 1-137.
https://doi.org/10.1017/S0962492904000212

has been cited by the following article:

• 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.