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

الملخص EN

The solvability conditions and the general expression of the generalized bisymmetric and bi-skew-symmetric solutions of a class of matrix equations ( A X = B , X C = 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.