Implicit Geometry with Multi-Dimensional Bisection Method
2019-07-25, 11:30–11:40, Elm B

In the proposed talk an efficient root finding algorithm is presented through engineering applications, which are formed as implicit non-linear equation systems.

Multi-Dimensional Bisection Method (MDBM.jl) is an efficient and robust root-finding package, which can be used to determine whole high-dimensional submanifolds (points, curves, surfaces…) of the roots of implicit non-linear equation systems, especially in cases, where the number of unknowns surpasses the number of equations.

Engineering application will be presented from the different fields
- determination of the workspace of a robot arm with collision avoidance
- stability (stabilizability) chart computations
- constrained parameter optimisation

Co-authors – Henrik Sykora