The Rotation of Eigenspaces of Perturbed Matrix Pairs

2010/11/19 by Luka Grubišić, Grubišić, Luka, Ninoslav Truhar +3
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Material Science and Thermodynamics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1011.4424

openalex publication_date 2010/11/19 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype model problem for our results we consider parameter dependent families of eigenvalue problems. We show that new estimates are a natural way to obtain sharp --- as functions of the parameter indexing the family of matrix pairs --- estimates for the rotation of spectral subspaces.

Citations

• The Rotation of Eigenvectors by a Perturbation. III

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