Journal article
Wave packet pseudomodes of twisted Toeplitz matrices
- Abstract:
-
The pseudospectra of banded, nonsymmetric Toeplitz or circulant matrices with varying coefficients are considered. Such matrices are characterized by a symbol that depends on both position (x) and wave number (k). It is shown that when a certain winding number or twist condition is satisfied, related to Hörmander's commutator condition for partial differential equations, ε-pseudoeigenvectors of such matrices for exponentially small values of ε exist in the form of localized wave packets. The ...
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- Publication status:
- Published
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Bibliographic Details
- Journal:
- COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
- Volume:
- 57
- Issue:
- 9
- Pages:
- 1233-1264
- Publication date:
- 2004-09-01
- DOI:
- EISSN:
-
1097-0312
- ISSN:
-
0010-3640
Item Description
- Language:
- English
- Pubs id:
-
pubs:24682
- UUID:
-
uuid:ca541e69-a931-419b-be8a-73d1ab6b4968
- Local pid:
- pubs:24682
- Source identifiers:
-
24682
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2004
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