5 citations · 5 across the 2 of their papers we have counts for
4 papers
Mechanism Singularities Revisited from an Algebraic Viewpoint
Zijia Li, Andreas Müller
It has become obvious that certain singular phenomena cannot be explained by a mere investigation of the configuration space, defined as the solution set of the loop closure equati…
The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-Euclidean Planes
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We propose a geometric explanation for the observation that generic quadratic polynomials over split quaternions may have up to six different factorizations while generic polynomia…
Factorization Results for Left Polynomials in Some Associative Real Algebras: State of the Art, Applications, and Open Questions
Zijia Li, Daniel F. Scharler, Hans-Peter Schröcker
We discuss existence of factorizations with linear factors for (left) polynomials over certain associative real involutive algebras, most notably over Clifford algebras. Because of…
Factorization of Motion Polynomials
Zijia Li, Josef Schicho, Hans-Peter Schröcker
In this paper, we consider the existence of a factorization of a monic, bounded motion polynomial. We prove existence of factorizations, possibly after multiplication with a real p…