Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aesf_v1_0.tar.gz(357 Kbytes)|
|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_0|
Distribution 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.|
|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.
Map the system to a finite field and solve there, keeping track of the required equations.
Typically less than the restrictions imposed by the requirement of being able to process the output with Laporta's Algorithm.
Complexity increases only very mildly with the number of kinematic invariants.
Depends on the individual problem. Fractions of a second to a few minutes have been observed in tests.
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