Numerical Treatment of Tensors

Wolfgang Hackbusch

Max Planck Institute for Mathematics in the Sciences, Leipzig

The numerical treatment of tensors and the use of tensors for various numerical problem has rapidly increased in the last time. We summarise the fundamental definitions, the various formats, their properties, and operations with tensors. Here, the general aspects will be emphasised. In particular, we introduce the mathematical nomenclature, which is not oriented at particular applications (like quantum chemistry). Literature: W. H.: Tensor spaces and numerical tensor calculus. Springer 2012

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