On hyper-regularity and unimodularity of Ore polynomial matrices

DOI10.2478/amcs-2018-0045zbMath1404.15018OpenAlexW2895184332WikidataQ129151080 ScholiaQ129151080MaRDI QIDQ1797891

Klaus Röbenack, Klemens Fritzsche

Publication date: 22 October 2018

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amcs-2018-0045

zbMATH Keywords

polynomial matricesdifferential operatorunimodularitynoncommutativitymeromorphic functionshyper-regularity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices over function rings in one or more variables (15A54)

Related Items (1)

Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions

Uses Software

• SymPy
• GitHub
• hypore
• symbtools

Cites Work

• On necessary and sufficient conditions for differential flatness
• On the computation of \(\pi\)-flat outputs for linear time-varying differential-delay systems
• Rings over which the transpose of every invertible matrix is invertible.
• Algorithms for the Quillen-Suslin theorem
• Serre's conjecture
• Generalized inverses. Theory and applications.
• Fraction-free row reduction of matrices of Ore polynomials.
• Jacobi's bound for a diffiety defined by a quasi-regular system
• On generalized inverses of singular matrix pencils
• The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices
• Unimodular completion of polynomial matrices
• Generalized inverse of polynomial matrices
• A computational view on normal forms of matrices of Ore polynomials
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