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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,… Click to show full abstract
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.
Keywords:
polynomial matrices;
hyper regularity;
regularity unimodularity;
ore polynomial
Journal Title: International Journal of Applied Mathematics and Computer Science
Year Published: 2018
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Journal Title: International Journal of Applied Mathematics and Computer Science
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!