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On hyper-regularity and unimodularity of Ore polynomial matrices

Fritzsche K., Röbenack K.

International Journal of Applied Mathematics and Computer Science

2018

Vol. 28, no. 3

583--594

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.