A note on canonical forms for matrix congruence (Q2564908)
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| Language | Label | Description | Also known as |
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| English | A note on canonical forms for matrix congruence |
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A note on canonical forms for matrix congruence (English)
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23 April 1998
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A complete set of equivalence class representatives for real matrices under congruence \(P..P^T\) is derived from a related classification of symmetric and skew matrix pencils by \textit{R. C. Thompson} [ibid. 147, 323-371 (1991; Zbl 0726.15007)]. This classifies real bilinear forms. Moreover this result allows to find canonical representations for the orbit of the skew symmetric matrices under semiorthogonal group action.
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matrix congruence
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canonical form
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symmetric matrix
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skew symmetric matrix
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orbit
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semiorthogonal group
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matrix pencils
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bilinear forms
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