Existence, uniqueness, and parametrization of Lagrangian invariant subspaces
Issue Date
2002-05-10Author
Freiling, Gerhard
Mehrmann, Volker
Xu, Hongguo
Publisher
SIAM PUBLICATIONS
Format
339402 bytes
352841 bytes
Type
Article
Metadata
Show full item recordAbstract
The existence, uniqueness, and parametrization of Lagrangian invariant subspaces for Hamiltonian matrices is studied. Necessary and sufficient conditions and a complete parametrization are given. Some necessary and sufficient conditions for the existence of Hermitian solutions of algebraic Riccati equations follow as simple corollaries.
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Citation
Freiling, G; Mehrmann, V; Xu, HG. Existence, uniqueness, and parametrization of Lagrangian invariant subspaces. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. May 10 2002. 23(4):1045-1069
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