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On \(g\)-inverses of a bordered matrix: revisited - MaRDI portal

On \(g\)-inverses of a bordered matrix: revisited (Q1611843)

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scientific article; zbMATH DE number 1790232
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On \(g\)-inverses of a bordered matrix: revisited
scientific article; zbMATH DE number 1790232

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    On \(g\)-inverses of a bordered matrix: revisited (English)
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    28 August 2002
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    This paper gives an explicit formula for all g-inverses of a general matrix of the block form \[ \begin{pmatrix} A &B\\ C &0 \end{pmatrix} \] and deduces consequences, such as regarding the rank of some related matrices.
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    \(g\)-inverse
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    bordered matrix
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    rank
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