Generalization of the Bauer-Fike theorem
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Publication:1066979
DOI10.1007/BF01389736zbMath0579.15006OpenAlexW2057277679MaRDI QIDQ1066979
Publication date: 1986
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133134
Pole and zero placement problems (93B55) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (13)
Rigorous perturbation bounds for eigenvalues and eigenvectors of a matrix ⋮ Gershgorin disk theorem in complex interval matrices ⋮ On error bounds for eigenvalues of a matrix pencil ⋮ A Note on Perturbation Estimates for Invariant Subspaces of Hessenberg Matrices ⋮ Communication parameter design for networked control systems with the slotted ALOHA access protocol ⋮ A sharp version of Bauer-Fike's theorem ⋮ Perturbation theory and derivatives of matrix eigensystems ⋮ Perturbation bounds for the joint spectrum of commuting matrices ⋮ Perturbation analysis of matrices over a quaternion division algebra ⋮ Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions ⋮ Analysis of regularized least-squares in reproducing kernel Kreĭn spaces ⋮ Robust coupling control using pole region assignment ⋮ Perturbation of eigenvalues for periodic matrix pairs via the Bauer-Fike theorems
Cites Work
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- Norms and exclusion theorems
- Deadbeat control: A special inverse eigenvalue problem
- Absolute norms and characteristic roots
- On the relationship between controllability indexes, Eigenvector assignment, and deadbeat control
- Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
- Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
- Bigradients and the Euclid-Sturm Algorithm
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