MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( 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.

MiS Preprint

On the Representation of Symmetric and Antisymmetric Tensors

Wolfgang Hackbusch


Various tensor formats are used for the data-sparse representation of large-scale tensors. Here we investigate how symmetric or antiymmetric tensors can be represented. The analysis leads to several open questions.

Nov 3, 2016
Nov 3, 2016
MSC Codes:
15A69, 65F99
tensor representation, symmetric tensors, antisymmetric tensors, Hierarchical Tensor Format

Related publications

2018 Repository Open Access
Wolfgang Hackbusch

On the representation of symmetric and antisymmetric tensors

In: Contemporary Computational Mathematics : a celebration of the 80th birthday of Ian Sloan / Josef Dick... (eds.)
Berlin : Springer, 2018. - pp. 483-515