Matrices of scalar differential operators: divisibility and spaces of solutions

DOI10.1134/S0965542520010030OpenAlexW3013966351MaRDI QIDQ2206414

Moulay A. Barkatou, Marko Petkovsek, Sergey A. Abramov

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520010030

zbMATH Keywords

solution spacecomputer algebra algorithmsgreatest common right divisordifferential operator matricesdivisibility of square matrices of differential operatorsleast common left multiple

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Operator matrices (47A08)

Related Items (1)

Linear difference operators with coefficients in the form of infinite sequences

Cites Work

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• On the Differential and Full Algebraic Complexities of Operator Matrices Transformations
• On the Dimension of Solution Spaces of Full Rank Linear Differential Systems
• On Solution Spaces of Products of Linear Differential or Difference Operators

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