TY - JOUR

T1 - Totally isotropic subspaces for pairs of Hermitian forms and applications to Riccati equations

AU - Ben-Artzi, Asher

AU - Djokovič, Dragomir Ž

AU - Rodman, Leiba

N1 - Funding Information:
by a Dr. Chain1 Weizmarm 1)~ NSERC of Canada Grant by NSF grant DMS-XX-02836 fellowship for scientific A-5285. and by a USA-Israel

PY - 1991/12

Y1 - 1991/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=44949272193&partnerID=8YFLogxK

U2 - 10.1016/0024-3795(91)90078-B

DO - 10.1016/0024-3795(91)90078-B

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AN - SCOPUS:44949272193

VL - 159

SP - 121

EP - 128

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - C

ER -