Unitary solutions of a class of algebraic Riccati equations and factorization

DOI10.1016/0024-3795(92)90391-MzbMath0747.15003MaRDI QIDQ1183204

André C. M. Ran

Publication date: 28 June 1992

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

zbMATH Keywords

algebraic Riccati equationunitary solutionsnonnegative rational matrix functionssymmetric factorizations

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24)

Related Items

Minimal square spectral factors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On symmetric rational transfer functions
• Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications
• Matrices and indefinite scalar products
• An algebraic Riccati equation approach to \(H^{\infty}\) optimization
• Minimal factorization of matrix and operator functions
• Minimal factorization of selfadjoint rational matrix functions
• The regular indefinite linear-quadratic problem with linear endpoint contraints
• Stability of invariant maximal semidefinite subspaces. I
• A characterization of minimal square spectral factors
• The Stable Solutions of Quadratic Matrix Equations
• Spectral theory of operators in spaces with an indefinite metric. II