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Wang, N.-N. and Li, J.-C. (2019) A Class of New Extended Shift-Splitting Preconditioners for Saddle Point Problems. Journal of Computational and Applied Mathematics, 357, 123-145. https://doi.org/10.1016/j.cam.2019.02.015

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.