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A relative perturbation bound for positive definite matrices

✍ Scribed by Mathias, R


Book ID
120116997
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
86 KB
Volume
270
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


A relative perturbation bound for positi
✍ Roy Mathias; KreΕ‘imir VeseliΔ‡ πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 202 KB

We give a sharp estimate for the eigenvectors of a positive definite Hermitian matrix under a floating-point perturbation. The proof is elementary.

Conservative perturbations of positive d
✍ P. Amodio; F. Iavernaro; D. Trigiante πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 85 KB

## Abstract We consider Hamiltonian matrices obtained by means of symmetric and positive definite matrices and analyse some perturbations that maintain the eigenvalues on the imaginary axis of the complex plane. To obtain this result we prove for such matrices the existence of a diagonal form or, a