TY - JOUR
T1 - On the Generalized Deteriorated Positive Semi-Definite and Skew-Hermitian Splitting Preconditioner
AU - Hezari , Davod
AU - Edalatpour , Vahid
AU - Feyzollahzadeh , Hadi
AU - Khojasteh Salkuyeh , Davod
JO - Journal of Computational Mathematics
VL - 1
SP - 18
EP - 32
PY - 2018
DA - 2018/08
SN - 37
DO - http://doi.org/10.4208/jcm.1707-m2016-0730
UR - https://global-sci.org/intro/article_detail/jcm/12646.html
KW - Saddle point problem, Preconditioner, Nonsymmetric, Symmetric, Positive definite, Krylov subspace method.
AB - <p style="text-align: justify;">For nonsymmetric saddle point problems, Huang et al. in [Numer. Algor. 75 (2017),
pp. 1161-1191] established a generalized variant of the deteriorated positive semi-definite
and skew-Hermitian splitting (GVDPSS) preconditioner to expedite the convergence speed
of the Krylov subspace iteration methods like the GMRES method. In this paper, some
new convergence properties as well as some new numerical results are presented to validate
the theoretical results.</p>