The group inverse of \(2 \times 2\) matrices over a ring (Q1947120)
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scientific article; zbMATH DE number 6153432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The group inverse of \(2 \times 2\) matrices over a ring |
scientific article; zbMATH DE number 6153432 |
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The group inverse of \(2 \times 2\) matrices over a ring (English)
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12 April 2013
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The authors solve an open problem posed by \textit{P. Patricio} and \textit{R. E. Hartwig} [Appl. Math. Comput. 217, No. 2, 516--520 (2010; Zbl 1204.15014)]. Specifically, they characterize the existence of the group inverse of a \(2 \times 2\) matrix over an arbitrary ring and, moreover, they give a representation for such a group inverse. Some special cases and examples are also provided.
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von Neumann regularity
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\(\{1,2\}\)-inverse
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group inverse
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matrix over a ring
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0.9550006
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0.95019007
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0.94948936
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0.93499786
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0.9289795
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0.92889583
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0.91985565
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