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Volumn 439, Issue 2, 2013, Pages 401-421

On Kruskal's theorem that every 3 × 3 × 3 array has rank at most 5

Author keywords

3 Dimensional arrays; Canonical forms; Kruskal's theorem; Tensor decompositions

Indexed keywords

3-DIMENSIONAL; CANONICAL FORM; COMPLETE CLASSIFICATION; KRUSKAL; MAXIMUM RANK; TENSOR DECOMPOSITION;

EID: 84879879475     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2013.03.021     Document Type: Article
Times cited : (13)

References (9)
  • 3
    • 55349142218 scopus 로고    scopus 로고
    • Tensor rank and the ill-posedness of the best low-rank approximation problem
    • V. de Silva, and L.-H. Lim Tensor rank and the ill-posedness of the best low-rank approximation problem SIAM J. Matrix Anal. Appl. 30 2008 1084 1127
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , pp. 1084-1127
    • De Silva, V.1    Lim, L.-H.2
  • 4
    • 1642323297 scopus 로고
    • Optimal evaluation of pairs of bilinear forms
    • J. Ja'Ja' Optimal evaluation of pairs of bilinear forms SIAM J. Comput. 8 1979 443 462
    • (1979) SIAM J. Comput. , vol.8 , pp. 443-462
    • Ja'Ja, J.1
  • 5
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decompositions and applications
    • T.G. Kolda, and B.W. Bader Tensor decompositions and applications SIAM Rev. 51 2009 455 500
    • (2009) SIAM Rev. , vol.51 , pp. 455-500
    • Kolda, T.G.1    Bader, B.W.2
  • 6
    • 0001837391 scopus 로고
    • Rank, decomposition, and uniqueness for 3-way and N-way arrays
    • R. Coppi, S. Bolasco, North-Holland Amsterdam
    • J.B. Kruskal Rank, decomposition, and uniqueness for 3-way and N-way arrays R. Coppi, S. Bolasco, Multiway Data Analysis 1989 North-Holland Amsterdam 7 18
    • (1989) Multiway Data Analysis , pp. 7-18
    • Kruskal, J.B.1
  • 8
    • 0000020580 scopus 로고
    • Kruskal's polynomial for 2 × 2 × 2 arrays, and a generalization to 2 × n × n arrays
    • J.M.F. ten Berge Kruskal's polynomial for 2 × 2 × 2 arrays, and a generalization to 2 × n × n arrays Psychometrika 56 1991 631 636
    • (1991) Psychometrika , vol.56 , pp. 631-636
    • Ten Berge, J.M.F.1
  • 9
    • 44949289634 scopus 로고
    • Maximal bilinear complexity and codes
    • J. von zur Gathen Maximal bilinear complexity and codes Linear Algebra Appl. 144 1991 49 61
    • (1991) Linear Algebra Appl. , vol.144 , pp. 49-61
    • Von Zur Gathen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.