Tensors in computations

2021/06/15 by Lek-Heng Lim · 1 voice
Computer Science · Mathematics · #cs.NA #math.NA #msc:14N07 #msc:15A69 #msc:15A72 #msc:46A32 #msc:46G25 #msc:46M05 #msc:47A80 #msc:47H60

paper · pdf · doi:10.1017/s0962492921000076

published as Acta Numerica, Volume 30, 2021 · 208 pages, 5 figures

arxiv created 2021/06/15 · arxiv published 2021/06/15 · arxiv updated 2021/06/16

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.

Discussions

• wtf is a tensor ? arxiv.org/abs/2106.08090 [bsky, 0 points, 0 comments]

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