On Hyper–Regularity and Unimodularity of Ore Polynomial Matrices

Klemens Fritzsche; Klaus Rӧbenack

doi:10.2478/amcs-2018-0045

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On Hyper–Regularity and Unimodularity of Ore Polynomial Matrices

International Journal of Applied Mathematics and Computer Science

Volume 28 (2018): Issue 3 (September 2018)

By: Klemens Fritzsche and Klaus Rӧbenack

Open Access

|Oct 2018

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amcs-2018-0045 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 583 - 594

Submitted on: Aug 18, 2017

Accepted on: Apr 26, 2018

Published on: Oct 3, 2018

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Ore polynomial matrices,

hyper-regularity,

unimodularity,

meromorphic functions,

differential operator,

noncommutativity,

algorithm,

hyper-regular inverse

Related subjects:

Mathematics,

Applied mathematics

© 2018 Klemens Fritzsche, Klaus Rӧbenack, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 28 (2018): Issue 3 (September 2018)