Covariance of Moore-Penrose inverses with respect to an invertible matrix (Q1066977)
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scientific article; zbMATH DE number 3927112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Covariance of Moore-Penrose inverses with respect to an invertible matrix |
scientific article; zbMATH DE number 3927112 |
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Covariance of Moore-Penrose inverses with respect to an invertible matrix (English)
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1985
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Given an invertible complex matrix T, those matrices which are covariant with respect to T, i.e. \(\{\) A: (TAT\({}^{-1})^+=TA^+T^{-1}\}\), are characterized. Here \(A^+\) is the Moore-Penrose generalized inverse. (Note that the roles of A and T are usually reversed in the literature.)
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group of invertible matrices
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covariant matrix
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Moore-Penrose generalized inverse
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