<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

On Hyper–Regularity and Unimodularity of Ore Polynomial Matrices

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On Hyper\u2013Regularity and Unimodularity of Ore Polynomial Matrices"}

We investigate Ore polynomial matrices, i. e., matrices with polynomial entries in d/dt whose coefficients are meromorphic functions in t and as such...

On Hyper–Regularity and Unimodularity of Ore Polynomial Matrices

Published Online: Oct 03, 2018

Page range: 583 - 594

Received: Aug 18, 2017

Accepted: Apr 26, 2018

DOI: https://doi.org/10.2478/amcs-2018-0045

Keywords
Ore polynomial matrices, hyper-regularity, unimodularity, meromorphic functions, differential operator, noncommutativity, algorithm, hyper-regular inverse

© 2018 Klemens Fritzsche, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On Hyper–Regularity and Unimodularity of Ore Polynomial Matrices

Published Online: Oct 03, 2018

Page range: 583 - 594

Received: Aug 18, 2017

Accepted: Apr 26, 2018

DOI: https://doi.org/10.2478/amcs-2018-0045

KeywordsOre polynomial matrices, hyper-regularity, unimodularity, meromorphic functions, differential operator, noncommutativity, algorithm, hyper-regular inverse

© 2018 Klemens Fritzsche, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Ore polynomial matrices, hyper-regularity, unimodularity, meromorphic functions, differential operator, noncommutativity, algorithm, hyper-regular inverse