On simultaneous row and column reduction of higher-order linear differential systems

DOI10.1016/j.jsc.2011.12.016zbMath1258.34028OpenAlexW2015697919MaRDI QIDQ1930151

Carole El Bacha, Moulay A. Barkatou, Eckhard Pflügel, George Labahn

Publication date: 10 January 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.12.016

zbMATH Keywords

higher-order systemslinear differential systemsrow reductioncolumn reductionPopov forms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

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Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions ⋮ Partitions of the set of selected unknowns in linear differential-algebraic systems ⋮ Differential equation systems with selected part of the unknowns ⋮ Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix ⋮ Matrices of scalar differential operators: divisibility and spaces of solutions ⋮ Revealing matrices of linear differential systems of arbitrary order ⋮ Partial algorithms for satellite unknowns determination ⋮ Package of procedures for inverting matrices whose entries are linear difference operators ⋮ On full rank differential systems with power series coefficients ⋮ Inverse linear difference operators ⋮ On Solution Spaces of Products of Linear Differential or Difference Operators ⋮ On the Differential and Full Algebraic Complexities of Operator Matrices Transformations

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