TY - JOUR
T1 - Preconditioned HSS-Like Iterative Method for Saddle Point Problems
AU - Qingbing Liu, Guoliang Chen & Caiqin Song
JO - Journal of Computational Mathematics
VL - 4
SP - 442
EP - 455
PY - 2014
DA - 2014/08
SN - 32
DO - http://doi.org/10.4208/jcm.1403-m4390
UR - https://global-sci.org/intro/article_detail/jcm/9896.html
KW - Saddle point problem, Non-Hermitian positive definite matrix, HSS-like splitting, Preconditioning.
AB - <p style="text-align: justify;">A new HSS-like iterative method is first proposed based on HSS-like splitting of non-Hermitian (1,1) block for solving saddle point problems. The convergence analysis for the new method is given. Meanwhile, we consider the solution of saddle point systems by preconditioned Krylov subspace method and discuss some spectral properties of the preconditioned saddle point matrices. Numerical experiments are given to validate the performances of the preconditioners. &nbsp;</p>