@Article{EAJAM-12-367, author = {Li , Xu and He , Ning}, 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 = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.050821.070122}, url = {http://global-sci.org/intro/article_detail/eajam/20259.html} }