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arXiv:2106.08090math.NA

Tensors in computations

Lek-Heng Lim

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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.

arXiv comments
208 pages, 5 figures
Journal reference
Acta Numerica, Volume 30, 2021
DOI
doi:10.1017/S0962492921000076
Subjects
math.NANumerical Analysis

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    • What is a tensor part 1: https://youtu.be/MkYEh0UJKcE What is a tensor Part 2: https://youtu.be/Lkpmd5-mpHY Paper: https://arxiv.org/abs/2106.08090

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