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A Note on a Partial Ordering in the Set of Hermitian Matrices

✍ Scribed by Gross, Jürgen


Book ID
118217034
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
342 KB
Volume
18
Category
Article
ISSN
0895-4798

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A note on eigenvalues of perturbed Hermi
✍ Chi-Kwong Li; Ren-Cang Li 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 183 KB

be Hermitian matrices with eigenvalues λ 1 • • • λ k and λ 1 • • • λ k , respectively. Denote by E the spectral norm of the matrix E, and η the spectral gap between the spectra of H 1 and H 2 . It is shown that , which improves all the existing results. Similar bounds are obtained for singular valu