Existence, uniqueness, and parametrization of Lagrangian invariant subspaces (Q2784397)
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scientific article; zbMATH DE number 1732287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness, and parametrization of Lagrangian invariant subspaces |
scientific article; zbMATH DE number 1732287 |
Statements
23 April 2002
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eigenvalue problem
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Hamiltonian matrix
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symplectic matrix
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Lagrangian invariant subspace
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algebraic Riccati equation
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Hermitian solutions
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0.89395434
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0.89128447
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0.89049053
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0.8893975
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0.88693273
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Existence, uniqueness, and parametrization of Lagrangian invariant subspaces (English)
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This paper extends known conditions for the existence of Lagrangian invariant subspaces (LIS's) of a Hamiltonian matrix and, as a consequence, gives a complete parametrization of all possible LIS's as well as necessary and sufficient conditions for the uniqueness of LIS's. These results almost immediately entail some necessary and sufficient conditions for the existence of Hermitian solutions of algebraic Riccati equations.
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