An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem (Q1368762)
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scientific article; zbMATH DE number 1067945
| Language | Label | Description | Also known as |
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| English | An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem |
scientific article; zbMATH DE number 1067945 |
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An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem (English)
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12 March 1998
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A Lanczos algorithm for the numerical computation of the eigenvalues of a Hamiltonian matrix is derived. It computes a symplectic basis in which the matrix is block tridiagonal with Hamiltonian two by two blocks. It is shown how implicit restart can be applied. Several numerical examples are included.
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symplectic Lanczos method
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Hamiltonian eigenvalue problem
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Hamiltonian matrix
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implicit restart
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numerical examples
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