Reverse order laws for the generalized inverses of multiple matrix products (Q1338512)
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scientific article; zbMATH DE number 698660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reverse order laws for the generalized inverses of multiple matrix products |
scientific article; zbMATH DE number 698660 |
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Reverse order laws for the generalized inverses of multiple matrix products (English)
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1 December 1994
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Using the ranks of matrices, necessary and sufficient conditions are given for the reverse product \(A^ \dag_ n \dots A^ \dag_ 1\) of the Moore-Penrose inverses of \(A_ 1,\dots,A_ n\), to be various \((i,j,k)\)-generalized inverses of \(A=A_ 1\dots A_ n\).
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reverse order laws
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multiple matrix products
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generalized inverses
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ranks
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product
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Moore-Penrose inverses
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