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Factorization of motion polynomials. (English) Zbl 1411.16043
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.

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