University of Twente Student Theses
Exploration on the numerical range and spectral constants of the Volterra operator
Fonseca Hoeltgebaum, Marion (2022) Exploration on the numerical range and spectral constants of the Volterra operator.
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| Abstract: | The numerical range encodes useful information about a matrix, especially in the case of non-normal matrices, where the eigenvalues provide less information. The Volterra operator is an integrating operator that acts on an infinite-dimensional vector space, but is compact, hence can be finitely approximated. This operator approximation can be done with a Fourier series. Once the numerical range is found, one can do a numerical investigation on its spectral constants in order to then form a conjecture about it. While the numerical results seem to differ from those found analytically, something can still be said about the tendencies of the roots of the polynomials that lead to the best constants. |
| Item Type: | Essay (Bachelor) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics |
| Programme: | Applied Mathematics BSc (56965) |
| Link to this item: | https://purl.utwente.nl/essays/92235 |
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