Creator:

Fritzsche, Klemens ; Röbenack, Klaus

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

On hyper-regularity and unimodularity of Ore polynomial matrices

Group publication title:

AMCS, volume 28 (2018)

Subject and Keywords:

ore polynomial matrices ; hyper-regularity ; unimodularity ; meromorphic functions ; differential operator ; noncommutativity ; algorithm ; hyper-regular inverse

Abstract:

We investigate Ore polynomial matrices, i. e., matrices with polynomial entries in d/dt whose coefficients are meromorphic functions in t and as such constitute a non-commutative ring. In particular, we study the properties of hyper-regularity and unimodularity of such matrices and derive conditions which make it possible to efficiently check for these characteristics. In addition, this approach enables computation of hyper-regular left and right and unimodular inverses.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2018

Resource Type:

artykuł

DOI:

10.2478/amcs-2018-0045

Pages:

583-594

Source:

AMCS, volume 28, number 3 (2018) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego