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The generalized bisymmetric (bi-skew-symmetric) solutions of a class of matrix equations and its least squares problem - MaRDI portal

The generalized bisymmetric (bi-skew-symmetric) solutions of a class of matrix equations and its least squares problem (Q1722406)

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scientific article; zbMATH DE number 7021977
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The generalized bisymmetric (bi-skew-symmetric) solutions of a class of matrix equations and its least squares problem
scientific article; zbMATH DE number 7021977

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    The generalized bisymmetric (bi-skew-symmetric) solutions of a class of matrix equations and its least squares problem (English)
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    14 February 2019
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    Summary: 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.
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    bi-skew-symmetric solutions
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    solvability conditions
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