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Perturbation bounds for means of eigenvalues and invariant subspaces

✍ Scribed by Axel Ruhe


Book ID
112655501
Publisher
Springer Netherlands
Year
1970
Tongue
English
Weight
634 KB
Volume
10
Category
Article
ISSN
0006-3835

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Relative perturbation bound for invarian
✍ Ninoslav Truhar; Ivan Slapničar πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 116 KB

We give a bound for the perturbations of invariant subspaces of graded indefinite Hermitian matrix H = D \* AD which is perturbed into H + Ξ΄H = D \* (A + Ξ΄A)D. Such relative perturbations include an important case where H is given with an element-wise relative error. Application of our bounds requir