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Real iterative algorithms for a common solution to the complex conjugate matrix equation system

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  • Peng, Xue
  • Guo, Xiao-Xia

Abstract

In this paper, we propose a new algorithm for the computation of the common solution to the complex conjugate matrix equation system AiXBi+CiX¯Di=Ei,i=1,2,…,N. The algorithms only need finite iteration steps, requiring only real computation. Furthermore, the algorithm can be extended to solve a more general complex matrix equation system. Two numerical examples are given to illustrate the effectiveness of the proposed algorithm.

Suggested Citation

  • Peng, Xue & Guo, Xiao-Xia, 2015. "Real iterative algorithms for a common solution to the complex conjugate matrix equation system," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 472-482.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:472-482
    DOI: 10.1016/j.amc.2015.07.105
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