TY - JOUR
T1 - Spectral Analysis for HSS Preconditioners
AU - Lung Chak Chan, Michael K. Ng & Nam Kiu Tsing
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 57
EP - 77
PY - 2008
DA - 2008/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nmtma/6042.html
KW - Saddle point problems, iterative methods, preconditioning, eigenvalues.
AB - <p style="text-align: justify;">In this paper, we are interested in HSS preconditioners for saddle
point linear systems with a nonzero $(2,2)$-th block. We study an
approximation of the spectra of HSS preconditioned matrices and
use these results to illustrate and explain the spectra obtained
from numerical examples, where the previous spectral analysis of
HSS preconditioned matrices does not cover.</p>