TY - JOUR
T1 - Numerical Methods to Solve the Complex Symmetric Stabilizing Solution of the Complex Matrix Equation $X+A^TX^{−1}A=Q$
AU - Yao , Yao
AU - Guo , Xiao-Xia
JO - Journal of Mathematical Study
VL - 1
SP - 53
EP - 65
PY - 2015
DA - 2015/03
SN - 48
DO - http://doi.org/10.4208/jms.v48n1.15.04
UR - https://global-sci.org/intro/article_detail/jms/9909.html
KW - Complex matrix, complex symmetric stabilizing solution, fixed-point method, structure preserving algorithm.
AB - <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>