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

Yao Yao & Xiao-Xia Guo

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

Published online: 2015-03

Preview Full PDF 515 1473
Export citation
  • 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.

  • Keywords

Complex matrix complex symmetric stabilizing solution fixed-pointmethod structure preserving algorithm

  • AMS Subject Headings

65R10 65N12 15A24 65E05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

guoxiaoxia@ouc.edu.cn (Yao Yao)

877133678@qq.com (Xiao-Xia Guo)

  • BibTex
  • RIS
  • TXT
@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+ATX−1A=Q}, journal = {Journal of Mathematical Study}, year = {2015}, volume = {48}, number = {1}, pages = {53--65}, 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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n1.15.04}, url = {http://global-sci.org/intro/article_detail/jms/9909.html} }
TY - JOUR T1 - Numerical Methods to Solve the Complex Symmetric Stabilizing Solution of the Complex Matrix Equation X+ATX−1A=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://dor.org/10.4208/jms.v48n1.15.04 UR - https://global-sci.org/intro/article_detail/jms/9909.html KW - Complex matrix KW - complex symmetric stabilizing solution KW - fixed-pointmethod KW - structure preserving algorithm AB -

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.

YaoYao & Xiao-Xia Guo. (2019). Numerical Methods to Solve the Complex Symmetric Stabilizing Solution of the Complex Matrix Equation X+ATX−1A=Q. Journal of Mathematical Study. 48 (1). 53-65. doi:10.4208/jms.v48n1.15.04
Copy to clipboard
The citation has been copied to your clipboard