Totally isotropic subspaces for pairs of Hermitian forms and applications to Riccati equations

Asher Ben-Artzi, Dragomir Ž Djokovič, Leiba Rodman

Research output: Contribution to journalArticlepeer-review

Abstract

We prove a result on the existence of a common totally isotropic subspace for a pair of forms on V × V, where V is a finite dimensional space (real, complex, or quaternionic), and where one of the forms is hermitian while the other is skew-hermitian. Applications to algebraic matrix Riccati equations are given.

Original languageEnglish
Pages (from-to)121-128
Number of pages8
JournalLinear Algebra and Its Applications
Volume159
Issue numberC
DOIs
StatePublished - Dec 1991
Externally publishedYes

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