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The Generalized Bisymmetric (Bi‐Skew‐Symmetric) Solutions of a Class of Matrix Equations and Its Least Squares Problem

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  • Yifen Ke
  • Changfeng Ma

Abstract

The solvability conditions and the general expression of the generalized bisymmetric and bi‐skew‐symmetric solutions of a class of matrix equations (AX = B, XC = D) are established, respectively. If the solvability conditions are not satisfied, the generalized bisymmetric and bi‐skew‐symmetric least squares solutions of the matrix equations are considered. In addition, two algorithms are provided to compute the generalized bisymmetric and bi‐skew‐symmetric least squares solutions. Numerical experiments illustrate that the results are reasonable.

Suggested Citation

  • Yifen Ke & Changfeng Ma, 2014. "The Generalized Bisymmetric (Bi‐Skew‐Symmetric) Solutions of a Class of Matrix Equations and Its Least Squares Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:239465
    DOI: 10.1155/2014/239465
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    References listed on IDEAS

    as
    1. Qing-Wen Wang & Juan Yu, 2012. "Constrained Solutions of a System of Matrix Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Qing-Wen Wang & Juan Yu, 2012. "Constrained Solutions of a System of Matrix Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, December.
    3. Chang-Zhou Dong & Qing-Wen Wang & Yu-Ping Zhang, 2012. "On the Hermitian R‐Conjugate Solution of a System of Matrix Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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