Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations

DOI10.1016/0024-3795(84)90140-XzbMath0593.15008MaRDI QIDQ1076105

Leiba Rodman, André C. M. Ran

Publication date: 1984

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

zbMATH Keywords

stabilityindefinite inner productinvariant subspacesfactorizationsmatrix polynomialsself-adjoint rational matrix functionssymmetric matrix algebraic Riccati equations

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Algebraic methods (93B25) Matrices over function rings in one or more variables (15A54)

Related Items

Isolated semidefinite solutions of the continuous-time algebraic Riccati equation, Minimal symmetric factorizations of symmetric real and complex rational matrix functions, Nonnegative solutions of algebraic Riccati equations, Rate of stability of solutions of matrix polynomial and quadratic equations, Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure, Stable real invariant semidefinite subspaces and stable factorizations of symmetric rational matrix functions, Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications, Generalized canonical factorization of matrix and operator functions with definite Hermitian part, Simple forms and invariant subspaces of \(H\)-expansive matrices, On symmetric factorizations of rational matrix functions, Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices

Cites Work

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