Cao, Y., Yao, L., Jiang, M. and Niu, Q. (2013) A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization. Journal of Computational and Applied Mathematics, 31, 398-421. https://doi.org/10.4208/jcm.1304-m4209

has been cited by the following article:

• TITLE: Generalized Shift-Splitting Preconditioner for Saddle Point Problems with Block Three-by-Three Structure

  AUTHORS: Linna Wang, Ke Zhang

  KEYWORDS: Saddle Point Problem, Generalized Shift-Splitting, Krylov Subspace, GMRES

  JOURNAL NAME: Open Access Library Journal, Vol.6 No.12, December 25, 2019

  ABSTRACT: We propose a generalized shift-splitting iteration method for saddle point problems with block three-by-three structure. As a new iteration method, the method converges to the unique solution of the saddle point problem unconditionally. When exploited as a preconditioner, the spectral distribu-tion of the preconditioned matrix is investigated. Numerical experiments show that the new variant is efficient in speeding up GMRES for solving the block three-by-three saddle point problem.