Simple forms and invariant subspaces of \(H\)-expansive matrices

DOI10.1016/j.laa.2014.11.022zbMath1309.15019OpenAlexW1984454374MaRDI QIDQ2259276

Jan H. Fourie, D. B. Janse van Rensburg, André C. M. Ran, Gilbert J. Groenewald

Publication date: 27 February 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.11.022

zbMATH Keywords

positive semidefiniteinvariant maximal semidefinite subspaces\(H\)-expansive matricesreal symmetric invertible matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (2)

A canonical form for H-unitary matrices ⋮ A note on the structure of expansive matrices in indefinite inner product spaces

Cites Work

• Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces
• Selection principles and properties of some proper and adjoined elements of operator pencils
• Inertia characteristics of self-adjoint matrix polynomials
• Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations
• The algebraic structure of \(H\)-dissipative operators in a finite-dimensional space
• Dissipative matrices and invariant maximal semidefinite subspaces
• Stability of invariant maximal semidefinite subspaces. I
• Rank one perturbations of \(H\)-positive real matrices
• Similarity vs unitary similarity and perturbation analysis of sign characteristics: complex and real indefinite inner products
• Real and complex invariant subspaces for matrices which are H-positive real in an indefinite inner product space
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