%0 Journal Article
%T Generalized Shift-Splitting Preconditioner 
for Saddle Point Problems with Block Three-by-Three Structure
%A Linna Wang
%A Ke Zhang
%J Open Access Library Journal
%V 6
%N 12
%P 1-14
%@ 2333-9721
%D 2019
%I Open Access Library
%R 10.4236/oalib.1105968
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">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.</span>
</div>
%K Saddle Point Problem
%K Generalized Shift-Splitting
%K Krylov Subspace
%K GMRES
%U http://www.oalib.com/paper/5425022