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A note on Gerschgorin's inclusion theorem for eigenvalues of matrices

✍ Scribed by Alston S. Householder; Richard S. Varga; James H. Wilkinson

Publisher: Springer-Verlag
Year: 1970
Tongue: English
Weight: 186 KB
Volume: 16
Category: Article
ISSN: 0029-599X
DOI: 10.1007/bf02308866

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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