@Article{EAJAM-12-2,
author = {Xu, Li and Ning, He},
title = {Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2022},
volume = {12},
number = {2},
pages = {367--380},
abstract = {<p style="text-align: justify;">A shift-splitting iteration method for solving large sparse continuous Sylvester
equations is developed. This single-step iteration algorithm demonstrates a better computational efficiency than the previously used two-step iterative methods. We also propose two variants — viz. inexact and accelerated shift-splitting iteration methods. The
convergence properties of all algorithms are studied and the quasi-optimal iteration parameter of shift-splitting is derived. Numerical examples demonstrate the efficiencies of
the three methods, especially for equations with ill-conditioned coefficient matrices.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.050821.070122},
url = {https://global-sci.com/article/82471/shift-splitting-iteration-method-and-its-variants-for-solving-continuous-sylvester-equations}
}