On the Representation of Symmetric and Antisymmetric Tensors

Wolfgang Hackbusch

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Submission date: 03. Nov. 2016 (revised version: April 2017)
Pages: 24
published in: Contemporary Computational Mathematics : a celebration of the 80th birthday of Ian Sloan / J. Dick ... (eds.)
Berlin : Springer, 2018. - P. 483 - 515 
DOI number (of the published article): 10.1007/978-3-319-72456-0_23
Bibtex
MSC-Numbers: 15A69, 65F99
Keywords and phrases: tensor representation, symmetric tensors, antisymmetric tensors, Hierarchical Tensor Format
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Abstract:
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.