On the matrix equations \(AH+HA^*=A^*+HA=I\) (Q1239213)
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scientific article; zbMATH DE number 3557951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the matrix equations \(AH+HA^*=A^*+HA=I\) |
scientific article; zbMATH DE number 3557951 |
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On the matrix equations \(AH+HA^*=A^*+HA=I\) (English)
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1977
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This paper considers the simultaneous solution of the matrix equations \(AH+HA^*= A^*H+HA= I\), where \(H\) is Hermitian. Those equations were proposed by \textit{O. Taussky} [J. Soc. Ind. Appl. Math. 9, No. 4, 640--643 (1961; Zbl 0108.01202)]. A full characterization of \(A\) in terms of a given \(H\) is obtained. Various results are also obtained for those \(H\) satisfying the equations with a given \(A\).
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