Abstract
During the last 40 years, simplicial partitioning has been shown to be highly useful, including in the field of nonlinear optimization, specifically global optimization. In this article, we consider results on the exhaustivity of simplicial partitioning schemes. We consider conjectures on this exhaustivity which seem at first glance to be true (two of which have been stated as true in published articles). However, we will provide counter-examples to these conjectures. We also provide a new simplicial partitioning scheme, which provides a lot of freedom, whilst guaranteeing exhaustivity.
| Original language | Undefined |
|---|---|
| Pages (from-to) | 189-203 |
| Number of pages | 15 |
| Journal | Journal of global optimization |
| Volume | 58 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2014 |
Keywords
- EWI-25478
- MSC-65K99
- MSC-90C26
- Nonconvex programming
- IR-94365
- Partitioning
- Exhaustivity
- METIS-309762
- Simplices
Cite this
Dickinson, P. J. C. (2014). On the Exhaustivity of Simplicial Partitioning. Journal of global optimization, 58(1), 189-203. https://doi.org/10.1007/s10898-013-0040-7