The computation of spectral supersets of linear operators in Hilbert spaces / vorgelegt von Lukas Alexander Vorberg. Wuppertal, März 2024
Inhalt
- 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
- 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
- Examples
- Concentration Phenomenon for Random Sampling
- Bibliography