Tensors in computations

The notion of a tensor captures three great ideas: equivariance, multilinearity, separability. But trying to be three things at once makes the notion difficult to understand. We will explain tensors in an accessible and elementary way through the lens of linear algebra and numerical linear algebra,...

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Bibliographic Details
Published in:Acta numerica 2021-05, Vol.30, p.555-764
Main Author: Lim, Lek-Heng
Format: Article
Language:English
Subjects:
Applications of mathematics
Linear algebra
Mathematical analysis
Tensors
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Summary:The notion of a tensor captures three great ideas: equivariance, multilinearity, separability. But trying to be three things at once makes the notion difficult to understand. We will explain tensors in an accessible and elementary way through the lens of linear algebra and numerical linear algebra, elucidated with examples from computational and applied mathematics.
ISSN:0962-4929
1474-0508
DOI:10.1017/S0962492921000076