Prototype Implementation of the Algebraic Kernel

Berberich, Eric; Hemmer, Michael; Karavelas, Menelaos; Pion, Sylvain; Teillaud, Monique; Tsigaridas, Elias

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Prototype Implementation of the Algebraic Kernel

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Berberich, Eric
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Hemmer, Michael
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Pion, Sylvain
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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http://www.researchgate.net/publication/254300442_Prototype_implementation_of_the_algebraic_kernel
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Citation

Berberich, E., Hemmer, M., Karavelas, M., Pion, S., Teillaud, M., & Tsigaridas, E.(2008). Prototype Implementation of the Algebraic Kernel (ACS-TR-121202-01). Groningen: University of Groningen.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0019-E387-2

Abstract

In this report we describe the current progress with respect to prototype implementations of algebraic kernels within the ACS project. More specifically, we report on: (1) the Cgal package Algebraic_kernel_for_circles_2_2 aimed at providing the necessary algebraic functionality required for treating circular arcs; (2) an interface between Cgal and SYNAPS for accessing the algebraic functionality in the SYNAPS library; (3) the NumeriX library (part of the EXACUS project) which is a prototype implementation of a set of algebraic tools on univariate polynomials, needed to built an algebraic kernel and (4) a rough CGAL-like prototype implementation of a set of algebraic tools on univariate polynomials.