A sharp version of Bauer-Fike's theorem

DOI10.1016/j.cam.2012.02.021zbMath1247.15017OpenAlexW2040551015MaRDI QIDQ421829

Xinghua Shi, Yi-Min Wei

Publication date: 14 May 2012

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.2012.02.021

zbMATH Keywords

generalized eigenvalue problemperturbation bounddiagonalizableBauer-Fike's theoremsign-complex spectral radiussign-real spectral radiussingle-input pole placementstability of singular systems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Pole and zero placement problems (93B55) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (4)

Generalized eigenvalue for even order tensors via Einstein product and its applications in multilinear control systems ⋮ Perturbation analysis of matrices over a quaternion division algebra ⋮ Nonbacktracking spectrum of random graphs: community detection and nonregular Ramanujan graphs ⋮ Generalized Tensor Eigenvalue Problems

Uses Software

• JDQR
• JDQZ

Cites Work

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