Publisher DOI: 10.1063/1.4952286
Title: Approximation of pseudospectra on a Hilbert space
Language: English
Authors: Schmidt, Torge 
Lindner, Marko  
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 
ISBN: 978-073541392-4
Institute: Mathematik E-10 
Document Type: Chapter/Article (Proceedings)
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