|Publisher DOI:||10.1063/1.4952286||Title:||Approximation of pseudospectra on a Hilbert space||Language:||English||Authors:||Schmidt, Torge
|Keywords:||Hilbert Space; Operator Theory; Pseudospectra||Issue Date:||8-Jun-2016||Source:||AIP Conference (1738): 480050 (2016-06-08)||Abstract (english):||
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.
|Conference:||AIP conference 2016||URI:||http://hdl.handle.net/11420/6249||ISBN:||978-073541392-4||Institute:||Mathematik E-10||Document Type:||Chapter/Article (Proceedings)|
|Appears in Collections:||Publications without fulltext|
Show full item record
checked on Sep 26, 2022
Add Files to Item
Note about this record
Cite this record
Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.