A monomial-by-monomial method for computing regular solutions of systems of pseudo-linear equations
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Publication:541974
DOI10.1007/s11786-010-0056-zzbMath1218.68201OpenAlexW2164714803MaRDI QIDQ541974
Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel
Publication date: 8 June 2011
Published in: Mathematics in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11786-010-0056-z
computer algebralinear functional equationsregular solutionslinear difference systemslinear differential systemssuper-reductiongeneralised splitting lemmalinear \(q\)-difference systemslocal systems of pseudo-linear equationsMoser-reduction
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Cites Work
- On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity
- Formes super-irréductibles des systèmes différentiels linéaires. (Super-irreducible forms of linear differential systems)
- An introduction to pseudo-linear algebra
- An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system
- Analytic theory of linear \(q\)-difference equations
- Effective formal reduction of linear differential systems
- An algorithm computing the regular formal solutions to a system of linear differential equations
- On rational solutions of systems of linear differential equations
- The order of a singularity in Fuchs' theory
- Some formal invariants of linear difference systems and their computations
- On solutions of linear functional systems
- Computing the exponential part of a formal fundamental matrix solution of a linear difference system
- EG-eliminations
- Regular systems of linear functional equations and applications
- Rational solutions of linear difference and \(q\)-difference equations with polynomial coefficients
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