Matrix coefficient realization theory of noncommutative rational functions
نویسندگان
چکیده
منابع مشابه
Power series expansions and realization theory for noncommutative rational functions around a matrix point
A noncommutative rational function which is regular at 0 can be expanded into a noncommutative formal power series. In fact, by the results of Kleene, Schützenberger, and Fliess, a noncommutative formal power series is rational (i.e., belongs to the smallest subring containing the noncommutative polynomials and closed under the inversion of invertible power series) if and only if the correspond...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2018
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.12.009