Tensors in computations

Tensors in computations
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计算中的张量

DOI:
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发表时间:
2021
期刊:
影响因子:
14.2
通讯作者:
Lek
Lek
中科院分区:
数学1区
文献类型:
--
作者:
Lek

文献摘要

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张量的概念捕获了三个伟大的想法:模棱两可,多电线性,可分离性。但是,试图立即成为三件事会使概念难以理解。我们将通过线性代数和数值线性代数的镜头以可访问且基本的方式解释张量,并阐明了计算和应用数学的示例。
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.