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CAP
2010
12 years 11 months ago
A high-performance algorithm for calculating cyclotomic polynomials
The nth cyclotomic polynomial, n(z), is the monic polynomial whose (n) distinct roots are the nth primitive roots of unity. n(z) can be computed efficiently as a quotient of terms...
Andrew Arnold, Michael B. Monagan
ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
13 years 9 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
COMPGEOM
2001
ACM
13 years 8 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
ALENEX
2004
116views Algorithms» more  ALENEX 2004»
13 years 6 months ago
A Computational Framework for Handling Motion
We present a framework for implementing geometric algorithms involving motion. It is written in C++ and modeled after and makes extensive use of CGAL (Computational Geometry Algor...
Leonidas J. Guibas, Menelaos I. Karavelas, Daniel ...