TY - JOUR
T1 - On a New SSOR-Like Method with Four Parameters for the Augmented Systems
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 82
EP - 100
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.190716.081116a
UR - https://global-sci.org/intro/article_detail/eajam/10736.html
KW - Convergence, SSOR-like method, convergence factor.
AB - <p style="text-align: justify;">In this paper, we propose a new SSOR-like method with four parameters to
solve the augmented system. And we analyze the convergence of the method and get
the optimal convergence factor under suitable conditions. It is proved that the optimal
convergence factor is the same as the GMPSD method [M.A. Louka and N.M. Missirlis,
A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous
displacement methods for augmented systems, Numer. Math. 131(2015)
517-540] with five parameters under the same assumption.</p>