Dissipative matrices and invariant maximal semidefinite subspaces

DOI10.1016/0024-3795(94)90402-2zbMath0813.15023OpenAlexW1967142355MaRDI QIDQ1344061

André C. M. Ran, Dirk Temme

Publication date: 9 March 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90402-2

zbMATH Keywords

indefinite scalar productdissipative matrixinvariant maximal semidefinite subspaces

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Quadratic and bilinear forms, inner products (15A63)

Related Items

Nonnegative solutions of algebraic Riccati equations ⋮ Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces ⋮ Simple forms and invariant subspaces of \(H\)-expansive matrices ⋮ Basic classes of matrices with respect to quaternionic indefinite inner product spaces ⋮ The algebraic structure of \(H\)-dissipative operators in a finite-dimensional space ⋮ Stability of stationary transport equations with accretive collision operators ⋮ A note on the structure of expansive matrices in indefinite inner product spaces ⋮ The Point Spectrum of Unitary Dilations in Kreĭ Spaces

Cites Work

• Selection principles and properties of some proper and adjoined elements of operator pencils
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• Constructive methods of Wiener-Hopf factorization
• Minimal factorization of matrix and operator functions
• Generalized canonical factorization of matrix and operator functions with definite Hermitian part
• Stability of invariant maximal semidefinite subspaces. I
• On pseudo-canonical factorization of rational matrix functions
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