TY - JOUR
T1 - A Modified Relaxed Positive-Semidefinite and Skew-Hermitian Splitting Preconditioner for Generalized Saddle Point Problems
AU - Yang Cao, An Wang & Yu-Juan Chen
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 192
EP - 210
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.190716.311216a
UR - https://global-sci.org/intro/article_detail/eajam/10743.html
KW - Generalized saddle point problems, positive-semidefinite and skew-Hermitian splitting, preconditioning, Krylov subspace method.
AB - <p style="text-align: justify;">Based on the relaxed factorization techniques studied recently and the idea
of the simple-like preconditioner, a modified relaxed positive-semidefinite and skew-Hermitian
splitting (MRPSS) preconditioner is proposed for generalized saddle point
problems. Some properties, including the eigenvalue distribution, the eigenvector distribution
and the minimal polynomial of the preconditioned matrix are studied. Numerical
examples arising from the mixed finite element discretization of the Oseen equation
are illustrated to show the efficiency of the new preconditioner.</p>