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GAMM-Mitteilungen· 2013Q3· Review

A literature survey of low‐rank tensor approximation techniques

Lars Grasedyck, Daniel Kreßner, Christine Tobler

Short summary

This survey provides an overview of low-rank tensor approximation, a technique that has emerged as a powerful tool for solving large-scale scientific computing problems previously considered intractable.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Low-rank tensor approximation is a new tool for scientific computing.
  • It addresses large-scale linear and multilinear algebra problems.
  • These problems were previously intractable with classical techniques.
  • The survey emphasizes function-related tensors.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract During the last years, low‐rank tensor approximation has been established as a new tool in scientific computing to address large‐scale linear and multilinear algebra problems, which would be intractable by classical techniques. This survey attempts to give a literature overview of current developments in this area, with an emphasis on function‐related tensors. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

The authors' abstract, as published at the source. GAMM-Mitteilungen, 2013 · DOI ↗

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Field: Computational Mathematics

Computational MathematicsMathematics