Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773232 | Linear Algebra and its Applications | 2017 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jurij VolÄiÄ,