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Bai, Z.-Z. and Hadjidimos, A. (2014) Optimization of Extrapolated Cayley Transform with Non-Hermitian Positive Definite Matrix. Linear Algebra and Its Applications, 463, 322-339. https://doi.org/10.1016/j.laa.2014.08.021

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.