For EDITORS

For READERS

All Issues

Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
A note on block preconditioner for generalized saddle point matrices with highly singular(1,1) block
Li-Tao Zhang
Keywords:Saddle point matrices, Krylov subspace methods, Generalized saddle point matrices, Minimal polynomial, Preconditioners
Abstract:
      In this paper, we present a block triangular preconditioner for generalized saddle point matrices whose coefficient matrices have singular (1,1) blocks. Theoretical analysis shows that all the eigenvalues of the preconditioned matrix are strongly clustered when choosing an optimal parameter. Numerical experiments are given to demonstrate the efficiency of the presented preconditioner.