Maximal invariant neutral subspaces and an application to the algebraic Riccati equation

DOI10.1007/BF01169094zbMath0521.15017OpenAlexW2089864601MaRDI QIDQ1055513

Leiba Rodman

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154941

zbMATH Keywords

algebraic Riccati equationindefinite metricHermitian solutionsA-invariant neutral subspaces

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Linear symmetric and selfadjoint operators (unbounded) (47B25) Invariant subspaces of linear operators (47A15) Linear operators on spaces with an indefinite metric (47B50)

Related Items (7)

Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations ⋮ Nonnegative solutions of algebraic Riccati equations ⋮ On parameter dependence of solutions of algebraic Riccati equations ⋮ Minimal factorization of selfadjoint rational matrix functions ⋮ Stability of invariant maximal semidefinite subspaces. I ⋮ Basic classes of matrices with respect to quaternionic indefinite inner product spaces ⋮ Low rank perturbations of strongly definitizable transformations and matrix polynomials

Cites Work

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• On selfadjoint matrix polynomials
• Perturbations of H-selfadjoint matrices, with applications to differential equations
• On the matrix Riccati equation
• Existence and uniqueness theorems for the algebraic Riccati equation
• Matrix quadratic equations
• Matrix Quadratic Solutions
• On the Theory of Automorphic Functions of a Matrix Variable, II-The Classification of Hypercircles Under the Symplectic Group

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