Characterization and properties of matrices with generalized symmetry or skew symmetry. (Q1418979)
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scientific article; zbMATH DE number 2026897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization and properties of matrices with generalized symmetry or skew symmetry. |
scientific article; zbMATH DE number 2026897 |
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Characterization and properties of matrices with generalized symmetry or skew symmetry. (English)
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14 January 2004
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For any nontrivial involution \(R\), a complex \(n\times n\) matrix \(A\) is \(R\)-symmetric (\(R\)-skew symmetric) if \(RAR= A\) \((RAR= -A)\). The author studies many property of these notions and gives characterization of \(R\)-symmetric (resp. \(R\)-skew symmetric) matrices.
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nontrivial involution
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\(R\)-symmetric matrices
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\(R\)-skew symmetric matrices
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