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 Gr\"obner bases are implemented with the use of modern asymptotically fast algorithms. \Rings can be easily interacted or embedded in a...

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Vydáno v:arXiv.org
Hlavní autor: Poslavsky, Stanislav
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 21.09.2018
Témata:
Algebra
Algorithms
Functional programming
Java
Polynomials
Rings (mathematics)
ISSN:2331-8422
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Abstract In this paper we briefly discuss \Rings --- an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gr\"obner 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. \Rings is available from http://github.com/PoslavskySV/rings
AbstractList In this paper we briefly discuss \Rings --- an efficient lightweight library for commutative algebra. Polynomial arithmetic, GCDs, polynomial factorization and Gr\"obner 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. \Rings is available from http://github.com/PoslavskySV/rings
Author Poslavsky, Stanislav
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Functional programming
Java
Polynomials
Rings (mathematics)
Title Rings: an efficient Java/Scala library for polynomial rings
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