Embree, Mark and Trefethen, Lloyd N. (2000) Generalizing Eigenvalue Theorems to Pseudospectra Theorems. Technical Report. Unspecified. (Submitted)
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Abstract
Analysis of nonsymmetric matrix iterations based on eigenvalues can be misleading. In this paper, we discuss sixteen theorems involving -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
= 0.
This work was supported by UK Engineering and Physical Sciences Research Council Grant GR/M12414.
| Item Type: | Technical Report (Technical Report) |
|---|---|
| Subjects: | H - N > Linear and multilinear algebra; matrix theory H - N > Numerical analysis |
| Research Groups: | Numerical Analysis Group |
| ID Code: | 1269 |
| Deposited By: | Lotti Ekert |
| Deposited On: | 01 Jun 2011 09:22 |
| Last Modified: | 01 Jun 2011 09:22 |
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