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

Xue Peng and Xiao-Xia Guo

Applied Mathematics and Computation, 2015, vol. 270, issue C, 472-482

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.

Keywords: Real representation; Complex matrix equation; Finite iteration; Solution (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:472-482

DOI: 10.1016/j.amc.2015.07.105

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