- AutorIn
- Torsten Schröder
- Titel
- Some considerations on a truncated matricial power moment problem of Stieltjes-type
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-337061
- Datum der Einreichung
- 14.12.2018
- Datum der Verteidigung
- 13.03.2019
- Abstract (EN)
- This work investigate two different approaches for the parametrization of a special moment problem of Stieltjes-type. On the one hand we deal with systems of Potapov's fundamental matrix inequalities. Thereby, we examine certain invariant subspaces, so-called Dubovoj subspaces, and special matrix polynomials as wells as their associated J- forms. On the other hand we consider a Schur-analytic approach and present a special one-step algorithm. Moreover, considerations on linear fractional transformations of matrices serve as an important tool for the development of the algorithm. Both representations aim at a description of the solution in the non-degenerate case as well as in the different degenerate cases.
- Freie Schlagwörter (EN)
- moment problem Stieltjes-type, fundamental matrix inequality, Schur-type algorithm
- Klassifikation (DDC)
- 500
- Den akademischen Grad verleihende / prüfende Institution
- Universität Leipzig, Leipzig
- Version / Begutachtungsstatus
- angenommene Version / Postprint / Autorenversion
- URN Qucosa
- urn:nbn:de:bsz:15-qucosa2-337061
- Veröffentlichungsdatum Qucosa
- 03.04.2019
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch