Title
Factorization of Motion Polynomials.
Abstract
In this paper, we consider the factorizations of monic, bounded motion polynomials. We prove existence of factorizations, possibly after multiplication with a real polynomial Q, and provide an algorithm for computing Q and corresponding factorizations. The algorithm gives a much lower bound on the degree of the polynomial factor than the mere existence theorem.
Year
DOI
Venue
2015
10.1016/j.jsc.2018.02.005
Journal of Symbolic Computation
Keywords
Field
DocType
Dual quaternion,Rational motion,Linkage
Discrete mathematics,Combinatorics,Polynomial matrix,Polynomial,Orthogonal polynomials,Elementary symmetric polynomial,Monic polynomial,Irreducible polynomial,Factorization of polynomials,Mathematics,Difference polynomials
Journal
Volume
ISSN
Citations 
92
0747-7171
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Zijia Li142.25
Josef Schicho212121.43
Hans-Peter Schröcker36013.17