A low-rank approximation of tensors and the topological group structure of invertible matrices

By a tensor we mean an element of the tensor product of vector spaces over a field. Up to a choice of bases in factors of tensor products, every tensor may be coordinatized, i.e., represented as an array consisting of numbers. The properties of the tensor rank, which is a natural generalization of t...

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Detalhes bibliográficos

Principais autores:	R.N. Gumerov, A.S. Sharafutdinov
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Kazan Federal University 2018-12-01
coleção:	Учёные записки Казанского университета: Серия Физико-математические науки
Assuntos:	approximation by matrices with simple spectra group action low-rank tensor approximation norm on tensor space open mapping simple spectrum of matrix tensor rank topological group of invertible matrices topological transformation group
Acesso em linha:	https://kpfu.ru/a-low-rank-approximation-of-tensors-and-the-403972.html
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