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A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations

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  • Aijing Liu
  • Guoliang Chen
  • Xiangyun Zhang

Abstract

We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations , . 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).

Suggested Citation

  • Aijing Liu & Guoliang Chen & Xiangyun Zhang, 2013. "A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations ," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, March.
    • Handle: RePEc:hin:jnljam:125687
    DOI: 10.1155/2013/125687
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    Cited by:

    1. Baohua Huang & Changfeng Ma, 2019. "The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint," Journal of Global Optimization, Springer, vol. 73(1), pages 193-221, January.

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