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Tensors in computations

Published online by Cambridge University Press:  04 August 2021

Lek-Heng Lim
Lek-Heng Lim*
Affiliation:
Computational and Applied Mathematics Initiative, University of Chicago, Chicago, IL60637, USA E-mail: lekheng@uchicago.edu
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Abstract

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.

Type
Research Article
Information
Acta Numerica , Volume 30 , May 2021 , pp. 555 - 764
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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