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Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter

Factorization of motion polynomials. (English) Zbl 1411.16043

J. Symb. Comput. 92, 190-202 (2019).
Summary: 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.

Cited in 8 Documents

MSC:

16Z05 Computational aspects of associative rings (general theory)
68W30 Symbolic computation and algebraic computation

Keywords:

dual quaternion; rational motion; linkage
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\textit{Z. Li} et al., J. Symb. Comput. 92, 190--202 (2019; Zbl 1411.16043)
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