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On polynomial \(E^ k P\) matrices - MaRDI portal

On polynomial \(E^ k P\) matrices (Q1329218)

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scientific article; zbMATH DE number 598222
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English
On polynomial \(E^ k P\) matrices
scientific article; zbMATH DE number 598222

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    On polynomial \(E^ k P\) matrices (English)
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    29 June 1994
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    The relation between \(EP-\lambda\) matrices and \(E^ kP - \lambda\) matrices over an arbitrary field \(F\) is studied. Further, conditions for the product of \(E^ kP - \lambda\) matrices to be an \(E^ kP - \lambda\) matrix and for the reverse order law to hold for the polynomial Moore- Penrose inverse of the product of \(E^ kP - \lambda\) matrices are presented with a lot of examples.
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    \(EP\) lambda matrix
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    arbitrary field
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    reverse order law
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    polynomial Moore- Penrose inverse
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