A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1 = C1, A2XB2 = C2

Aijing Liu, Guoliang Chen and Xiangyun Zhang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations A1XB1 = C1, A2XB2 = C2. The algorithm can obtain the bisymmetric solution with minimum Frobenius norm in finite iteration steps in the absence of round‐off errors. Our algorithm is faster and more stable than Algorithm 2.1 by Cai et al. (2010).

Date: 2013
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https://doi.org/10.1155/2013/125687

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:125687

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