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