Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem

DOI10.1016/j.apnum.2015.08.006zbMath1329.15072OpenAlexW1145287440MaRDI QIDQ892709

Ninoslav Truhar, Suzana Miodragović

Publication date: 11 November 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.08.006

zbMATH Keywords

hyperbolic eigenvalue problemperturbation of eigenvalues and eigenvectorsperturbation of matrix pairssin theta theorem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

Perturbation bounds for stable gyroscopic systems ⋮ A note on an upper and a lower bound on sines between eigenspaces for regular Hermitian matrix pairs ⋮ Approximation of damped quadratic eigenvalue problem by dimension reduction ⋮ Relative perturbation theory for quadratic Hermitian eigenvalue problems ⋮ Perturbation theory for Hermitian quadratic eigenvalue problem -- damped and simultaneously diagonalizable systems

Uses Software

• NLEVP

Cites Work

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