On some bounds on the perturbation of invariant subspaces of normal matrices with application to a graph connection problem

Abstract We provide upper bounds on the perturbation of invariant subspaces of normal matrices measured using a metric on the space of vector subspaces of C n $\mathbb{C}^{n}$ in terms of the spectrum of both unperturbed and perturbed matrices as well as the spectrum of the unperturbed matrix only....

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Bibliographic Details
Main Author: Subhrajit Bhattacharya
Format: Article
Language:English
Published: SpringerOpen 2022-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02809-w