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

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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Bibliographic Details
Main Authors: R.N. Gumerov, A.S. Sharafutdinov
Format: Article
Language:English
Published: Kazan Federal University 2018-12-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
Subjects:
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
Online Access:https://kpfu.ru/a-low-rank-approximation-of-tensors-and-the-403972.html
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