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Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices

✍ Scribed by Yuji Nakatsukasa


Book ID
113461305
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
203 KB
Volume
62
Category
Article
ISSN
0168-9274

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Optimal perturbation bounds for the Herm
✍ Jesse L. Barlow; Ivan Slapničar πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 169 KB

There is now a large literature on structured perturbation bounds for eigenvalue problems of the form where H and M are Hermitian. These results give relative error bounds on the ith eigenvalue, Ξ» i , of the form and bound the error in the ith eigenvector in terms of the relative gap, In general,