Two sets of new characterizations for normal and EP matrices. (Q1414707)
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scientific article; zbMATH DE number 2013052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two sets of new characterizations for normal and EP matrices. |
scientific article; zbMATH DE number 2013052 |
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Two sets of new characterizations for normal and EP matrices. (English)
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4 December 2003
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This paper presents new characterizations for normal matrices and for EP matrices (i.e., \(AA^{\dagger}=A^{\dagger}A\), where \(A^{\dagger}\) is the Moore-Penrose of \(A\)) by using some rank equalities and two types of generalized inverses: the Moore-Penrose inverse and the group inverse.
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commutativity
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EP matrix
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group inverse
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Moore-Penrose inverse
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normal matrix
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range equalities
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rank equalities
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