Rank of 3-tensors with 2 slices and Kronecker canonical forms

Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Tensor type data are becoming important recently in various application fields. We determine the rank of a 3-tensor with 2 slices in comparison with its Kronecker canonical form over the complex and real number field.

Original languageEnglish
Pages (from-to)1858-1868
Number of pages11
JournalLinear Algebra and Its Applications
Volume431
Issue number10
DOIs
Publication statusPublished - Oct 15 2009

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Canonical form
Slice
Tensors
Tensor
Number field

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology
  • Numerical Analysis

Cite this

Rank of 3-tensors with 2 slices and Kronecker canonical forms. / Sumi, Toshio; Miyazaki, Mitsuhiro; Sakata, Toshio.

In: Linear Algebra and Its Applications, Vol. 431, No. 10, 15.10.2009, p. 1858-1868.

Research output: Contribution to journalArticle

Sumi, Toshio ; Miyazaki, Mitsuhiro ; Sakata, Toshio. / Rank of 3-tensors with 2 slices and Kronecker canonical forms. In: Linear Algebra and Its Applications. 2009 ; Vol. 431, No. 10. pp. 1858-1868.
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