Simultaneously row- and column-reduced higher-order linear differential systems

DOI10.1145/1837934.1837949zbMath1321.68521OpenAlexW2060488283MaRDI QIDQ2946519

Carole El Bacha, Eckhard Pflügel, Moulay A. Barkatou

Publication date: 17 September 2015

Published in: Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1837934.1837949

zbMATH Keywords

singularitiessystems of linear differential equationscomputer algebrareduction algorithms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30)

Related Items (6)

Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions ⋮ On rational solutions of pseudo-linear systems ⋮ On \(k\)-simple forms of first-order linear differential systems and their computation ⋮ On singular points of solutions of linear differential systems with polynomial coefficients ⋮ On solving system of linear differential-algebraic equations using reduction algorithm ⋮ Linear differential and difference systems: \(\mathrm{EG}_\delta\)- and \(\mathrm{EG}_\sigma\)-eliminations

Uses Software

• Isolde
• Maple
• DIFFALG
• AIDA

Cites Work

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• Differential algebra for derivations with nontrivial commutation rules
• Generating differential invariants
• Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
• Smooth and algebraic invariants of a group action: Local and global constructions
• Differential invariants of a Lie group action: syzygies on a generating set
• Invariants différentiels d'un pseudogroupe de Lie. I
• Invariants différentiels d'un pseudogroupe de Lie. II
• Higher order contact of submanifolds of homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Rational invariants of a group action. Construction and rewriting
• Differential invariants of conformal and projective surfaces

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