Resolvent representation for regular differential ideals
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Publication:1566397
DOI10.1007/s00200-002-0110-4zbMath1048.12005OpenAlexW2016511760MaRDI QIDQ1566397
Thomas Cluzeau, Evelyne Hubert
Publication date: 2 June 2003
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/inria-00072422/file/RR-4200.pdf
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Fast computation of discrete invariants associated to a differential rational mapping ⋮ The Differential Dimension Polynomial for Characterizable Differential Ideals ⋮ Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables ⋮ Linear sparse differential resultant formulas ⋮ Computation of differential Chow forms for ordinary prime differential ideals ⋮ Jacobi's bound: Jacobi's results translated in Kőnig's, Egerváry's and Ritt's mathematical languages ⋮ Difference Chow form ⋮ On the complexity of the resolvent representation of some prime differential ideals ⋮ Probabilistic algorithms for computing resolvent representations of regular differential ideals ⋮ A geometric index reduction method for implicit systems of differential algebraic equations ⋮ Algebraic, rational and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one ⋮ Algebraic transformation of differential characteristic decompositions from one ranking to another ⋮ A primitive element theorem for fields with commuting derivations and automorphisms ⋮ Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form
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