Block generalized inverses (Q1229275)
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scientific article; zbMATH DE number 3523752
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Block generalized inverses |
scientific article; zbMATH DE number 3523752 |
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Block generalized inverses (English)
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1976
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The existence of the Moore-Penrose inverse is discussed for elements of a *-regular ring \(R\). A technique is developed for computing conditional and reflexive inverses for matrices in \(R_{2\times 2}\), which is then used to calculate the Moore-Penrose inverse for these matrices. Several applications are given, generalizing many of the classical results; in particular, we shall emphasize the cases of bordered matrices, Schur complements, block-rank formulae and EP elements.
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computing conditional and reflexive inverses
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Moore-Penrose inverse
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*-regular ring
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bordered matrices
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Schur complements
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block-rank formulae
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EP elements
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