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Approximation of pseudospectra on a Hilbert space
Publikationstyp
Conference Paper
Publikationsdatum
2016-06-08
Sprache
English
Author
Institut
TORE-URI
Volume
1738
Article Number
480050
Citation
AIP Conference (1738): 480050 (2016-06-08)
Contribution to Conference
Publisher DOI
Scopus ID
The study of spectral properties of linear operators on an infinite-dimensional Hilbert space is of great interest. This task is especially difficult when the operator is non-selfadjoint or even non-normal. Standard approaches like spectral approximation by finite sections generally fail in that case. In this talk we present an algorithm which rigorously computes upper and lower bounds for the spectrum and pseudospectrum of such operators using finite-dimensional approximations. One of our main fields of research is an efficient implementation of this algorithm. To this end we will demonstrate and evaluate methods for the computation of the pseudospectrum of finite-dimensional operators based on continuation techniques.
Schlagworte
Hilbert Space
Operator Theory
Pseudospectra