A characterization and determinantal formula for the generalized inverse \(A^{(2)}_{T,S}\) and its applications. (Q1855125)
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scientific article; zbMATH DE number 1860994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization and determinantal formula for the generalized inverse \(A^{(2)}_{T,S}\) and its applications. |
scientific article; zbMATH DE number 1860994 |
Statements
A characterization and determinantal formula for the generalized inverse \(A^{(2)}_{T,S}\) and its applications. (English)
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28 January 2003
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This paper deals with the generalized inverse \(A^{(2)}_{S,T}\). A determinantal formula extending to the Cramer rule for this generalized inverse is obtained. This result can be used to derive the corresponding determinantal formula for the Moore-Penrose inverse, the weigthed Moore-Penrose inverse, the Drazin inverse, and so on. In addition, this result is applied to solve restricted linear systems.
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generalized inverses
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characterizations
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determinantal formula
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restricted linear equations
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Cramer rule
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Moore-Penrose inverse
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Drazin inverse
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