# 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, elucidated with examples from computational and applied mathematics.

Comments

There are no comments yet.

## Authors

• 12 publications
• ### Lectures on Randomized Numerical Linear Algebra

This chapter is based on lectures on Randomized Numerical Linear Algebra...
12/24/2017 ∙ by Petros Drineas, et al. ∙ 0

read it

• ### Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure

This paper describes solution methods for linear discrete ill-posed prob...
10/10/2021 ∙ by Lothar Reichel, et al. ∙ 0

read it

• ### Simplification of tensor expressions in computer algebra

Computer algebra is widely used in various fields of mathematics, physic...
11/19/2018 ∙ by A. Kryukov, et al. ∙ 0

read it

• ### An Attempt to Generate Code for Symmetric Tensor Computations

This document describes an attempt to develop a compiler-based approach ...
10/01/2021 ∙ by Jessica Shi, et al. ∙ 0

read it

• ### Tensors Come of Age: Why the AI Revolution will help HPC

This article discusses how the automation of tensor algorithms, based on...
09/26/2017 ∙ by John L. Gustafson, et al. ∙ 0

read it

• ### MoA Interpretation of the Iterative Conjugate Gradient Method with Psi Reduction - A Tutorial to teach the Mathematically literate in Linear and Tensor Algebra: Part I

It is often difficult to learn new mathematics semantically and syntacti...
03/24/2019 ∙ by Lenore Mullin, et al. ∙ 0

read it

• ### Chain Rules for Hessian and Higher Derivatives Made Easy by Tensor Calculus

Computing multivariate derivatives of matrix-like expressions in the com...
11/29/2019 ∙ by Maciej Skorski, et al. ∙ 0

read it

##### This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.