Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aesf_v1_0.tar.gz(357 Kbytes) | ||
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Manuscript Title: Finding Linear Dependencies in Integration-By-Parts Equations: A Monte Carlo Approach | ||

Authors: Philipp Kant | ||

Program title: ICE - the IBP Chooser of Equations | ||

Catalogue identifier: AESF_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 185(2014)1473 | ||

Programming language: Haskell. | ||

Computer: Any system that hosts the Haskell Platform. | ||

Operating system: GNU/Linux, Windows, OS/X. | ||

Keywords: Multiloop Calculation, Laporta Algorithm, Integration-By-Parts. | ||

PACS: 12.38.Bx. | ||

Classification: 4.4, 4.8, 5, 11.1. | ||

Nature of problem:Find linear dependencies in a system of linear equations with multivariate polynomial coefficients. To be used on Integration-By-Parts identities before running Laporta's Algorithm. | ||

Solution method:Map the system to a finite field and solve there, keeping track of the required equations. | ||

Restrictions:Typically less than the restrictions imposed by the requirement of being able to process the output with Laporta's Algorithm. | ||

Unusual features:Complexity increases only very mildly with the number of kinematic invariants. | ||

Running time:Depends on the individual problem. Fractions of a second to a few minutes have been observed in tests. |

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