Effective formal reduction of linear differential systems

DOI10.1007/s002000050002zbMath0945.34002OpenAlexW2133527753MaRDI QIDQ1961710

Eckhard Pflügel

Publication date: 20 March 2000

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002000050002

zbMATH Keywords

splitting lemmaPoincaré ranklinear differential systemformal fundamental matrix solutionMoser-irreducible and super-irreducible forms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30)

Related Items (6)

On \(k\)-simple forms of first-order linear differential systems and their computation ⋮ Formal reduction of singular linear differential systems using eigenrings: a refined approach ⋮ On matrix perturbations with minimal leading Jordan structure. ⋮ On ramification indices of formal solutions of constructive linear ordinary differential systems ⋮ A monomial-by-monomial method for computing regular solutions of systems of pseudo-linear equations ⋮ On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity

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