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

DOI10.1016/0024-3795(91)90078-BzbMath0741.15004OpenAlexW2070201001MaRDI QIDQ1180396

Leiba Rodman, Asher Ben-Artzi, Dragomir Ž. Djoković

Publication date: 27 June 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90078-b

zbMATH Keywords

quaternionsHermitian formtotally isotropic subspacealgebraic matrix Riccati equations

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Quadratic and bilinear forms, inner products (15A63)

Related Items (1)

Homogeneous Riccati equations versus quadratic inequalities

Cites Work

• Unnamed Item
• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
• Frequency theorem and the Lure equation
• Geometry of the Algebraic Riccati Equation, Part II
• Convex Sets of Hermitian Matrices with Constant Inertia
• Linear Preservers of the Class of Hermitian Matrices with Balanced Inertia
• Existence and uniqueness theorems for the algebraic Riccati equation
• Algebraic Riccati equation and symplectic algebra

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