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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Algebraic detection of
Carl Friedrich Kreiner, Johannes Zimmer and Isaac Chenchiah
Abstract
The problem of detecting so-called
An efficient algorithm, based on algebraic methods, is presented. Unlike previous work on the computation of rank-one convex hulls, it is not based on discretization and gives exact results. This algorithm enables, for the first time, large numbers of tests for these configurations. Stochastic experiments in several space dimensions are reported here.
- Received:
- 22.11.03
- Published:
- 22.11.03
- Keywords:
- rank-one convex hull, $t_k$-configuration