Singular value and generalized singular value decompositions and the solution of linear matrix equations (Q1087955)
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scientific article; zbMATH DE number 3989558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular value and generalized singular value decompositions and the solution of linear matrix equations |
scientific article; zbMATH DE number 3989558 |
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Singular value and generalized singular value decompositions and the solution of linear matrix equations (English)
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1987
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All matrices are taken to be real, but not necessarily square. The author employs the singular value decomposition and a generalization of it to study the solvability of the equation \(AXB+CYD=E\), and of the pair of equations \(AXB=E\), \(FXG=H\). A couple of special cases are considered, and numerical algorithms for the solutions are suggested.
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linear matrix equations
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generalized inverses
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singular value decomposition
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solvability
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0.95484126
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0.9362772
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0.92065877
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