Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces

DOI10.1016/j.laa.2007.02.002zbMath1120.15024OpenAlexW2012612775MaRDI QIDQ886137

André C. M. Ran, Jan H. Fourie, Gilbert J. Groenewald

Publication date: 26 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.02.002

zbMATH Keywords

Hermitian matrixindefinite inner productspositive real matricessemidefinite invariant subspaces

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

Representations and computations of \(\{2, 3^\sim \}\) and \(\{2, 4^\sim \}\)-inverses in indefinite inner product spaces ⋮ Extension and generalization properties of the weighted Minkowski inverse in a Minkowski space for an arbitrary matrix ⋮ Simple forms and invariant subspaces of \(H\)-expansive matrices

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• The algebraic structure of \(H\)-dissipative operators in a finite-dimensional space
• Dissipative matrices and invariant maximal semidefinite subspaces
• On pseudo-canonical factorization of rational matrix functions
• DISSIPATIVE OPERATORS IN A HILBERT SPACE WITH AN INDEFINITE METRIC

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