Small rank perturbations of \(H\)-expansive matrices
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Publication:6621010
DOI10.1007/978-3-031-50613-0_8MaRDI QIDQ6621010
Gilbert J. Groenewald, D. B. Janse van Rensburg, André C. M. Ran
Publication date: 17 October 2024
Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Quadratic and bilinear forms, inner products (15A63) Linear operators on spaces with an indefinite metric (47B50)
Cites Work
- Factorization of matrix and operator functions. The state space method
- Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices
- A note on the structure of expansive matrices in indefinite inner product spaces
- Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. II.
- Generic rank-one perturbations of structured regular matrix pencils
- Simple forms and invariant subspaces of \(H\)-expansive matrices
- Rank one perturbations of \(H\)-positive real matrices
- Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations
- A state space approach to canonical factorization with applications
- A canonical form for H-unitary matrices
- Generic rank-k Perturbations of Structured Matrices
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