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The computation of spectral supersets of linear operators in Hilbert spaces
Symbols
Introduction
The Spectra of Operators
The Spectra of Unbounded Operators
The Spectra of Perturbed Operators
Spectral Subsets
The Spectra of Compact Operators
Spectral Supersets
The -Pseudospectrum
The Numerical Range
The Quadratic Numerical Range
Pseudospectrum Enclosures by Discretization
Pseudospectrum Enclosures using the Numerical Range
A Strong Approximation Scheme
A Uniform Approximation Scheme
Finite Element Discretization
Discretization of Structured Block Operator Matrices I
Discretization of Structured Block Operator Matrices II
Numerical Examples
Pseudospectra of Schur Complements
Computing the Quadratic Numerical Range
A New Computational Technique
Curves within the Quadratic Numerical Range
An Algorithm for Computing the QNR
Seeking the Boundary
Box Approach
Examples
Concentration Phenomenon for Random Sampling
Bibliography
Dissertation
The computation of spectral supersets of linear operators in Hilbert spaces / vorgelegt von Lukas Alexander Vorberg
Entstehung
Wuppertal
März 2024
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