A note on an upper and a lower bound on sines between eigenspaces for regular Hermitian matrix pairs
DOI10.1016/j.cam.2019.03.012zbMath1415.65092OpenAlexW2921006359MaRDI QIDQ2000635
Publication date: 28 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.03.012
perturbation theorymechanical systemsdampinggeneralized eigenvalue problem\(\sin \theta\) theoremregular Hermitian matrix pairs
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Control of mechanical systems (70Q05) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35) Orthogonalization in numerical linear algebra (65F25)
Cites Work
- The rotation of eigenspaces of perturbed matrix pairs
- Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem
- Where is the nearest non-regular pencil?
- Optimal algorithms for complete linkage clustering in \(d\) dimensions
- Damping optimization in simplified and realistic disc brakes
- On the distance to singularity via low rank perturbations
- Distance Problems for Linear Dynamical Systems
- Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems
- Some recent results on MDGKN‐systems
- Accurate Singular Values of Bidiagonal Matrices
- Jacobi’s Method is More Accurate than QR
- Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
- Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices
- On the Nearest Singular Matrix Pencil
- The Rotation of Eigenvectors by a Perturbation. III
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A note on an upper and a lower bound on sines between eigenspaces for regular Hermitian matrix pairs