Normaliz: Algorithms for Affine Monoids and Rational Cones
Winfried Bruns, Bogdan Ichim
TL;DR
Normaliz is a software tool that implements algorithms for solving linear inequalities related to affine monoids and rational cones, aiding in computational algebra and geometry tasks.
Contribution
The paper introduces new algorithms integrated into Normaliz version 2.0 for efficiently solving linear systems in algebraic and geometric contexts.
Findings
Enhanced algorithm efficiency in Normaliz 2.0
Successful application to complex algebraic problems
Improved computational performance over previous versions
Abstract
Normaliz is a program for solving linear systems of inequalities. In this paper we present the algorithms implemented in the program, starting with version 2.0.
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Taxonomy
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Computational Geometry and Mesh Generation