Computing the eigenvalues of matrices of the orthogonal and unitary symplectic groups (Q5947818)
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scientific article; zbMATH DE number 1666017
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing the eigenvalues of matrices of the orthogonal and unitary symplectic groups |
scientific article; zbMATH DE number 1666017 |
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Computing the eigenvalues of matrices of the orthogonal and unitary symplectic groups (English)
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28 October 2001
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It is known that Cayley's transformation transforms orthogonal matrices into skew-symmetric matrices, and unitary matrices into skew-Hermitian matrices, and at last symplectic matrices into Hamiltonian matrices. In the article the Cayley transform is used for effective solving the eigenvalue problem of matrices from the orthogonal and unitary symplectic group.
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Cayley's transformation
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eigenvalues
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orthogonal symplectic groups
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