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Complex shifts of real matrices.
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Classroom Contents
Spectral Stability Under Real Random Absolutely Continuous Perturbations
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- 1 Intro
- 2 The conspiracy: Machine error and non-normality
- 3 About this talk
- 4 Preliminaries: Eigenvalue condition numbers
- 5 Preliminaries: Minimum eigenvalue gap
- 6 Main theorems
- 7 Hermitization (proof technique)
- 8 Tail bounds for the singular values
- 9 The real world is challenging and full of surprises
- 10 Hermitization of the minimum eigenvalue gap
- 11 Preliminaries: Pseudospectrum
- 12 Hermitization of the eigenvalue condition numbers
- 13 Pseudospectral shattering
- 14 Complex shifts of real matrices.
- 15 Hermitization of eigenvalue condition numbers
- 16 Related work
- 17 Open problems
