On polynomial \(EP_ r\) matrices (Q1187584)

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scientific article; zbMATH DE number 39583
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On polynomial \(EP_ r\) matrices
scientific article; zbMATH DE number 39583

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    On polynomial \(EP_ r\) matrices (English)
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    13 August 1992
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    An \(EP_ r\) matrix \(A\) is one which has rank \(r\) and \(AA^ +=A^ +A\) where \(A^ +\) denotes the Moore-Penrose inverse. This paper studies the generalization of \(EP_ r\) to matrices whose entries are rational functions in one indeterminant over a field with an involutary automorphism.
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    EP matrix
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    generalized inverse
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    Moore-Penrose inverse
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