TY - JOUR
T1 - Preconditioned Positive-Definite and Skew-Hermitian Splitting Iteration Methods for Continuous Sylvester Equations AX + XB = C
AU - Rong Zhou, Xiang Wang & Xiao-Bin Tang
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 55
EP - 69
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.190716.051116a
UR - https://global-sci.org/intro/article_detail/eajam/10734.html
KW - PPSS iteration method, IPPSS iteration method, Sylvester equations, convergence.
AB - <p style="text-align: justify;">In this paper, we present a preconditioned positive-definite and skew-Hermitian
splitting (PPSS) iteration method for continuous Sylvester equations $AX+XB=C$ with
positive definite/semi-definite matrices. The analysis shows that the PPSS iteration
method will converge under certain assumptions. An inexact variant of the PPSS iteration
method (IPPSS) has been presented and the analysis of its convergence property in
detail has been discussed. Numerical results show that this new method is more efficient
and robust than the existing ones.</p>