Existence, Uniqueness, and Parametrization of Lagrangian Invariant Subspaces

نویسندگان

  • Gerhard Freiling
  • Volker Mehrmann
  • Hongguo Xu
چکیده

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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عنوان ژورنال:
  • SIAM J. Matrix Analysis Applications

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2002