Factorization of motion polynomials. (May 2019)

• Record Type: Journal Article
• Authors: Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter
• Is Part Of: Journal of symbolic computation. Volume 92(2019)
• Page Start: 190
• Page End: 202
• Publication Date: 2019-05
• Subjects: Dual quaternion -- Rational motion -- Linkage; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2018.02.005
• Languages: English
• ISSNs: 0747-7171

Abstract

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.