Rings: An efficient Java/Scala library for polynomial rings

In this paper we briefly discuss Rings — an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gröbner bases are implemented with the use of modern asymptotically fast algorithms. Rings can be easily interacted or embedded in applications...

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Bibliographic Details
Published in:Computer physics communications Vol. 235; pp. 400 - 413
Main Author: Poslavsky, Stanislav
Format: Journal Article
Language:English
Published: Elsevier B.V 01.02.2019
Subjects:
Commutative algebra
Computer algebra
Polynomial arithmetic
Commutative algebra
Polynomial arithmetic
Computer algebra
ISSN:0010-4655, 1879-2944
Online Access:Get full text
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Summary:In this paper we briefly discuss Rings — an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gröbner bases are implemented with the use of modern asymptotically fast algorithms. Rings can be easily interacted or embedded in applications in high-energy physics and other research areas via a simple API with fully typed hierarchy of algebraic structures and algorithms for commutative algebra. The use of the Scala language brings a quite novel powerful, strongly typed functional programming model allowing to write short, expressive, and fast code for applications. At the same time Rings shows one of the best performances among existing software for algebraic calculations. Program Title:Rings Program Files doi:http://dx.doi.org/10.17632/2k79hftjy9.1 Licensing provisions: Apache 2.0 Programming language: Java, Scala Nature of problem: Fast methods for rational function arithmetic, simplification of polynomial expressions, Gröbner bases and other related computer algebra methods naturally arising in physical applications Solution method: Efficient implementation of modern asymptotically fast algorithms in Java language External routines: Java 8 and higher, Scala 2.11 or 2.12 Additional comments: project page: https://github.com/PoslavskySV/rings, documentation: http://rings.readthedocs.io/en/latest/
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2018.09.005