@Article{JMS-48-53,
author = {Yao , Yao and Guo , Xiao-Xia},
title = {Numerical Methods to Solve the Complex Symmetric Stabilizing Solution of the Complex Matrix Equation $X+A^TX^{−1}A=Q$},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {1},
pages = {53--65},
abstract = {<p style="text-align: justify;">When the matrices $A$ and $Q$ have special structure, the structure-preserving
algorithm was used to compute the stabilizing solution of the complex matrix equation $X+A^TX^{-1}A=Q.$ In this paper, we study the numerical methods to solve the complex
symmetric stabilizing solution of the general matrix equation $X+A^TX^{-1}A=Q.$ We
not only establish the global convergence for the methods under an assumption, but
also show the feasibility and effectiveness of them by numerical experiments.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v48n1.15.04},
url = {http://global-sci.org/intro/article_detail/jms/9909.html}
}