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Volumn 65, Issue 4, 2000, Pages 525-532

The typical rank of tall three-way arrays

Author keywords

CANDECOMP; PARAFAC; Tensorial rank; Three way component analysis; Three way rank

Indexed keywords


EID: 0034559666     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02296342     Document Type: Article
Times cited : (43)

References (13)
  • 1
  • 2
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an n-way generalization of Eckart-Young decomposition
    • Carroll, J.D., & Chang, J.J. (1970). Analysis of individual differences in multidimensional scaling via an n-way generalization of Eckart-Young decomposition. Psychometrika, 35, 283-319.
    • (1970) Psychometrika , vol.35 , pp. 283-319
    • Carroll, J.D.1    Chang, J.J.2
  • 5
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-modal factor analysis
    • Harshman, R.L. (1970). Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-modal factor analysis. UCLA Working Papers in Phonetics, 16, 1-84.
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.L.1
  • 6
    • 48749101457 scopus 로고
    • Three-way arrays: Rank and uniqueness of trilinear decompositions with applications to arithmetic complexity and statistics
    • Kruskal, J.B. (1977). Three-way arrays: Rank and uniqueness of trilinear decompositions with applications to arithmetic complexity and statistics. Linear Algebra and its Applications, 18, 95-138.
    • (1977) Linear Algebra and Its Applications , vol.18 , pp. 95-138
    • Kruskal, J.B.1
  • 8
    • 0001837391 scopus 로고
    • Rank, decomposition, and uniqueness for 3-way and N-way arrays
    • R. Coppi & S. Bolasco (Eds.) . Amsterdam: North-Holland
    • Kruskal, J.B. (1989). Rank, decomposition, and uniqueness for 3-way and N-way arrays. In R. Coppi & S. Bolasco (Eds.), Multiway data analysis (pp. 7-18). Amsterdam: North-Holland.
    • (1989) Multiway Data Analysis , pp. 7-18
    • Kruskal, J.B.1
  • 9
    • 0032345550 scopus 로고    scopus 로고
    • A case of extreme simplicity of the core matrix in three-mode principal components analysis
    • Murakami, T., ten Berge, J.M.F., & Kiers, H.A.L. (1998). A case of extreme simplicity of the core matrix in three-mode principal components analysis. Psychometrika, 63, 255-261.
    • (1998) Psychometrika , vol.63 , pp. 255-261
    • Murakami, T.1    Ten Berge, J.M.F.2    Kiers, H.A.L.3
  • 10
    • 21844512606 scopus 로고
    • A simplification of a result by Zellini on the maximal rank of symmetric three-way arrays
    • Rocci, R., & ten Berge, J.M.F. (1994). A simplification of a result by Zellini on the maximal rank of symmetric three-way arrays. Psychometrika, 59, 377-380.
    • (1994) Psychometrika , vol.59 , pp. 377-380
    • Rocci, R.1    Ten Berge, J.M.F.2
  • 11
    • 0000020580 scopus 로고
    • Kruskal's polynomial for 2 × 2 × 2 arrays and a generalization to 2 × n × n arrays
    • ten Berge, J.M.F. (1991). Kruskal's polynomial for 2 × 2 × 2 arrays and a generalization to 2 × n × n arrays. Psychometrika, 56, 631-636.
    • (1991) Psychometrika , vol.56 , pp. 631-636
    • Ten Berge, J.M.F.1
  • 12
    • 0041595584 scopus 로고    scopus 로고
    • Simplicity of core arrays in three-way principal component analysis and the typical rank of P × Q × 2 arrays
    • ten Berge, J.M.F, & Kiers, H.A.L. (1999). Simplicity of core arrays in three-way principal component analysis and the typical rank of P × Q × 2 arrays. Linear Algebra and its Applications, 294, 169-179.
    • (1999) Linear Algebra and its Applications , vol.294 , pp. 169-179
    • Ten Berge, J.M.F.1    Kiers, H.A.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.