Perfect type of n-tensors

Details Perfect type of n-tensors Perfect type of n-tensors

2010-08-06

arxiv.org/abs/1008.1113v1

Mathematics

Rings and Algebras

11 pages, no figures

Scientific paper

In various application fields, tensor type data are used recently and then a typical rank is important. Although there may be more than one typical ranks over the real number field, a generic rank over the complex number field is the minimum number of them. The set of $n$-tensors of type $p_1\times p_2\times\cdots\times p_n$ is called perfect, if it has a typical rank $\max(p_1,\ldots,p_n)$. In this paper, we determine perfect types of $n$-tensor.

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