Ranks of solutions of the linear matrix equation \(AX + YB = C\) (Q2458506)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ranks of solutions of the linear matrix equation \(AX + YB = C\) |
scientific article |
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Ranks of solutions of the linear matrix equation \(AX + YB = C\) (English)
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1 November 2007
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The author investigates the maximal and minimal ranks of a solution \((X,Y)\) to the complex matrix equation \(AX+YB=C\). Moreover, the maximal and minimal ranks of four real matrices \(X_0,X_1,Y_0,Y_1\) in a pair of solutions \(X=X_0+iX_1\) and \(Y=Y_0+iY_1\) to the matrix equation mentioned above are also presented.
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maximal rank
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minimal rank
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generalized inverse
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