6533b7d2fe1ef96bd125f5b9

RESEARCH PRODUCT

MultivariateApart: Generalized partial fractions

Matthias HellerAndreas Von Manteuffel

subject

Computer Science - Symbolic ComputationHigh Energy Physics - TheoryFOS: Computer and information sciencesPolynomialComputer scienceFOS: Physical sciencesGeneral Physics and AstronomyRational functionSymbolic Computation (cs.SC)Partial fraction decomposition01 natural sciencesGröbner basisHigh Energy Physics - Phenomenology (hep-ph)ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION0103 physical sciences010306 general physicsSpurious relationshipcomputer.programming_language010308 nuclear & particles physicsFunction (mathematics)Symbolic computationAlgebraHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)Hardware and ArchitectureComputer Science::Mathematical SoftwareWolfram Languagecomputer

description

We present a package to perform partial fraction decompositions of multivariate rational functions. The algorithm allows to systematically avoid spurious denominator factors and is capable of producing unique results also when being applied to terms of a sum separately. The package is designed to work in Mathematica, but also provides interfaces to the Form and Singular computer algebra systems.

https://doi.org/10.1016/j.cpc.2021.108174