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Generalizing Eigenvalue Theorems to Pseudospectra Theorems
- Abstract:
- Analysis of nonsymmetric matrix iterations based on eigenvalues can be misleading. In this paper, we discuss sixteen theorems involving $\epsilon$-pseudospectra that each generalize a familiar eigenvalue theorem and may provide more descriptive information in some cases. Our organizing principle is that each pseudospectral theorem reduces precisely to the corresponding eigenvalue theorem when $\epsilon$ = 0. This work was supported by UK Engineering and Physical Sciences Research Council Grant GR/M12414.
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- Unspecified
- Publication date:
- 2000-06-01
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- UUID:
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uuid:24456fda-ae75-4521-8c7f-3b1ed95219d8
- Local pid:
- oai:eprints.maths.ox.ac.uk:1269
- Deposit date:
- 2011-06-01
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- Copyright date:
- 2000
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