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Journal article
On domains of noncommutative rational functions
Linear algebra and its applications, v 516, pp 69-81
01 Mar 2017
Abstract
In this paper the stable extended domain of a noncommutative rational function is introduced and it is shown that it can be completely described by a monic linear pencil from the minimal realization of the function. This result amends the singularities theorem of Kalyuzhnyi-Verbovetskyi and Vinnikov. Furthermore, for noncommutative rational functions which are regular at a scalar point it is proved that their domains and stable extended domains coincide.
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Details
- Title
- On domains of noncommutative rational functions
- Creators
- Jurij Volčič - University of Auckland
- Publication Details
- Linear algebra and its applications, v 516, pp 69-81
- Publisher
- Elsevier
- Grant note
- University of Auckland (http://dx.doi.org/10.13039/501100001537)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000392782700005
- Scopus ID
- 2-s2.0-84997708010
- Other Identifier
- 991021861670204721
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- Web of Science research areas
- Mathematics
- Mathematics, Applied