Rank equalities for submatrices in generalized inverse \(M_{T,S}^{(2)}\) of \(M\) (Q1826800)
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scientific article; zbMATH DE number 2081886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rank equalities for submatrices in generalized inverse \(M_{T,S}^{(2)}\) of \(M\) |
scientific article; zbMATH DE number 2081886 |
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Rank equalities for submatrices in generalized inverse \(M_{T,S}^{(2)}\) of \(M\) (English)
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6 August 2004
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Partitioning a matrix \(M\) into a \(2 \times 2\) block matrix and using the group inverse expressions of the generalized inverse \(M^{(2)}_{TS}\), rank expressions for submatrices in \(M^{(2)}_{TS}\) are developed. Some known important cases are covered with this new result.
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rank
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submatrix
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generalized inverse \(M^{(2)}_{TS}\)
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Moore-Penrose inverse
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Drazin inverse
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0.94398046
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0.93867826
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0.92317045
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0.9113113
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0.90956295
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0.90548295
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0.8967583
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0.8935013
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