Matrix factorizations for symplectic QR-like methods (Q1821504)
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scientific article; zbMATH DE number 3999139
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matrix factorizations for symplectic QR-like methods |
scientific article; zbMATH DE number 3999139 |
Statements
Matrix factorizations for symplectic QR-like methods (English)
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1986
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The construction of QR-like methods for the solution of eigenvalue problems, that require symplectic similarity transformations to keep the structure invariant is discussed. The existence of SR factorizations with symplectic or unitary and symplectic S factors and different triangular forms R is analyzed and the relationship to transformations to Hessenberg-type forms is investigated.
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unitary and symplectic matrices
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Hamiltonian matrices
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QR-algorithms
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eigenvalue problems
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symplectic similarity transformations
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SR factorizations
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Hessenberg-type forms
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