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Real root counting for some robotics problems. (English) Zbl 0900.70069

Merlet, J.-P. (ed.) et al., Computational kinematics ’95. Proceedings of the 2nd workshop, Sophia Antipolis, France, September 4-6, 1995. Dordrecht: Kluwer Academic Publishers. Solid Mech. Appl. 40, 73-82 (1995).
Summary: We propose two algorithms to compute the number of real roots of zero-dimensional systems, using effective algebraic methods. To compare their behaviour on practical examples, we apply these methods to systems that describe some robotics problems (e.g. direct kinematic problem of parallel manipulators).
For the entire collection see [Zbl 0839.00029].

MSC:

70B15 Kinematics of mechanisms and robots
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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