On the symmetric solutions of linear matrix equations (Q923662)
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scientific article; zbMATH DE number 4171115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the symmetric solutions of linear matrix equations |
scientific article; zbMATH DE number 4171115 |
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On the symmetric solutions of linear matrix equations (English)
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1990
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Necessary and sufficient conditions are given for the existence of symmetric solutions of the matrix equations \(AX=C\) and \(AXB=C\) on the real field, in terms of the singular value decomposition of A and the generalized singular value decomposition of the pair \((A,B^ T)\), respectively. Expressions for the general solution are provided for each case.
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existence
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symmetric solutions
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matrix equations
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singular value decomposition
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