Volume 48, Issue 1
Numerical Methods to Solve the Complex Symmetric Stabilizing Solution of the Complex Matrix Equation X+ATX−1A=Q

YaoYao and Xiao-Xia Guo

10.4208/jms.v48n1.15.04

J. Math. Study, 48 (2015), pp. 53-65.

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  • Abstract

When the matrices A and Q have special structure, the structure-preserving algorithmwas used to compute the stabilizing solution of the complexmatrix equation X+ATX-1A=Q. In this paper, we study the numerical methods to solve the complex symmetric stabilizing solution of the general matrix equation X+ATX-1A=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.

  • History

Published online: 2015-03

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