Skip navigation
SuUB logo
DSpace logo

  • Home
  • Institutions
    • University of Bremen
    • City University of Applied Sciences
    • Bremerhaven University of Applied Sciences
  • Sign on to:
    • My Media
    • Receive email
      updates
    • Edit Account details

Citation link: http://nbn-resolving.de/urn:nbn:de:gbv:46-diss000000502
E-Diss50_Gallestey_E1998.pdf
OpenAccess
 
copyright

Theory and Numeric of Spectral Value Sets


File SizeFormat
E-Diss50_Gallestey_E1998.pdf1.96 MBAdobe PDFView/Open
Authors: Gallestey Alvarez, Eduardo 
Supervisor: Diederich Hinrichsen (Bremen) 
1. Expert: Diederich Hinrichsen (Bremen) 
2. Expert: Anthony Pritchard (Warwick) 
Abstract: 
Spectral value sets are useful in studying how the spectrum of closed linear operators on infinite dimensional spaces change under the effect of perturbations. They are also important in investigations related to the transient behaviour of linear systems driven by non-normal operators. In the thesis we show that the spectral value sets that can be achieved by perturbations of a given level can be characterized in terms of the norm of certain transfer function. Furthermore, we present an algorithm able to efficiently calculate these sets in the matrix case. In the general (operator!) case finite dimensional approximations of the corresponding transfer function are the natural approach. Thus, we state the approximation problem and solve it under certain conditions. Finally, we apply our approximation results to the robustness analysis of delay equations and of the Orr-Sommerfeld operator.
Keywords: spectra, pseudospectra, spectral-value-sets, stability-radius, operator-theory, robustness-analysis, spectral-approximation, delay-systems, hydrodynamical-stability
Issue Date: 2-Oct-1998
Type: Dissertation
URN: urn:nbn:de:gbv:46-diss000000502
Institution: Universität Bremen 
Faculty: FB3 Mathematik/Informatik 
Appears in Collections:Dissertationen

  

Page view(s)

44
checked on Jan 21, 2021

Download(s)

9
checked on Jan 21, 2021

Google ScholarTM

Check


Items in Media are protected by copyright, with all rights reserved, unless otherwise indicated.

Legal notice -Feedback -Data privacy
Media - Extension maintained and optimized by Logo 4SCIENCE