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

Yifen Ke and Changfeng Ma

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/239465

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:239465

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