Some considerations in relation to the matrix equation \(AXB = C\) (Q464343)
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scientific article; zbMATH DE number 6358074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some considerations in relation to the matrix equation \(AXB = C\) |
scientific article; zbMATH DE number 6358074 |
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Some considerations in relation to the matrix equation \(AXB = C\) (English)
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17 October 2014
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The purpose of the present paper is to study the consistency of the matrix equation \(AXB = C\). In particular, the form of gthe eneral solution, consisting of both reproductive and non-reproductive solutions, is obtained for a consistent matrix equation \(AXB = C\). The authors also study an extension of Penrose's theorem related to the general solution of the matrix equation \(AXB = C\). The paper is nicely written and has an extensive bibliography.
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matrix equation
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reproductive equation
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reproductive solution
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Penrose's theorem
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consistency
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general solution
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