Numerical multilinear algebra and its applications

Liqun Qi, Wenyu Sun, Yiju Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

86 Citations (Scopus)

Abstract

Numerical multilinear algebra (or called tensor computation), in which instead of matrices and vectors the higher-order tensors are considered in numerical viewpoint, is a new branch of computational mathematics. Although it is an extension of numerical linear algebra, it has many essential differences from numerical linear algebra and more difficulties than it. In this paper, we present a survey on the state of the art knowledge on this topic, which is incomplete, and indicate some new trends for further research. Our survey also contains a detailed bibliography as its important part. We hope that this new area will be receiving more attention of more scholars.
Original languageEnglish
Pages (from-to)501-526
Number of pages26
JournalFrontiers of Mathematics in China
Volume2
Issue number4
DOIs
Publication statusPublished - 1 Oct 2007

Keywords

  • Higher order tensor
  • Lower rank approximation of tensor
  • Multi-way data analysis
  • Numerical multilinear algebra
  • Tensor decomposition

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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