메뉴 건너뛰기




Volumn 62, Issue 4, 2010, Pages 807-822

About the maximal rank of 3-tensors over the real and the complex number field

Author keywords

Maximal rank; Tensor

Indexed keywords

APPLICATION FIELDS; COMPLEX NUMBER; MAXIMAL RANK; REAL-NUMBER FIELD;

EID: 77958070995     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-010-0294-5     Document Type: Conference Paper
Times cited : (12)

References (15)
  • 2
    • 0007775677 scopus 로고
    • On the maximal multiplicative complexity of a family of bilinear forms
    • Atkinson, M. D., Stephens, N.M. (1979). On the maximal multiplicative complexity of a family of bilinear forms. Linear Algebra and its Applications, 27, 1-8.
    • (1979) Linear Algebra and Its Applications , vol.27 , pp. 1-8
    • Atkinson, M.D.1    Stephens, N.M.2
  • 3
    • 0038685059 scopus 로고    scopus 로고
    • A new efficient method for determining the number of components in PARAFAC models
    • Bro, R., Kiers, H. A. L. (2003). A new efficient method for determining the number of components in PARAFAC models. Journal of Chemometrics, 17, 274-286.
    • (2003) Journal of Chemometrics , vol.17 , pp. 274-286
    • Bro, R.1    Kiers, H.A.L.2
  • 4
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-modal factor analysis
    • University Microfilms, Ann Arbor No. 10085)
    • Harshman, R. A. (1970). Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-modal factor analysis. UCLA Working Papers in Phonetics, 16, 1-84 (University Microfilms, Ann Arbor, No. 10,085).
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 5
    • 0142043333 scopus 로고    scopus 로고
    • Shifted factor analysis-part I: Models and properties
    • Harshman, R. A., Hong, S., Lundy, M. E. (2003). Shifted factor analysis-part I: Models and properties. Journal of Chemometrics, 17, 363-378.
    • (2003) Journal of Chemometrics , vol.17 , pp. 363-378
    • Harshman, R.A.1    Hong, S.2    Lundy, M.E.3
  • 6
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decompositions and applications
    • Kolda, T. G., Bader, B.W. (2009). Tensor decompositions and applications. SIAM Review, 51(3), 455-500.
    • (2009) SIAM Review , vol.51 , Issue.3 , pp. 455-500
    • Kolda, T.G.1    Bader, B.W.2
  • 7
    • 48749101457 scopus 로고
    • Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
    • Kruskal, J. B. (1977). Three-way arrays: Rank and uniqueness of trilinear decompositions, with application 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: Elsevier
    • 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: Elsevier.
    • (1989) Multiway Data Analysis , pp. 7-18
    • Kruskal, J.B.1
  • 11
    • 33750146454 scopus 로고    scopus 로고
    • Survey on tensor signal algebraic filtering
    • Muti, D., Bourennane, S. (2007). Survey on tensor signal algebraic filtering. Signal Processing Archive 87(2), 237-249.
    • (2007) Signal Processing Archive , vol.87 , Issue.2 , pp. 237-249
    • Muti, D.1    Bourennane, S.2
  • 13
    • 69349093657 scopus 로고    scopus 로고
    • Rank of 3-tensors with 2 slices and Kronecker canonical forms
    • Sumi, T., Miyazaki, M., Sakata, T. (2009). Rank of 3-tensors with 2 slices and Kronecker canonical forms. Linear Algebra and its Applications, 431, 1858-1868.
    • (2009) Linear Algebra and Its Applications , vol.431 , pp. 1858-1868
    • Sumi, T.1    Miyazaki, M.2    Sakata, T.3
  • 15
    • 69249113769 scopus 로고    scopus 로고
    • Multi-way chemometric methodologies and applications: A central summary of our research work
    • Wu, H.-L., Nie, J.-F., Yu, Y.-J., Yu, R.-Q. (2009).Multi-way chemometric methodologies and applications: A central summary of our research work. Analytica Chimica Acta, 650, 131-142.
    • (2009) Analytica Chimica Acta , vol.650 , pp. 131-142
    • Wu, H.-L.1    Nie, J.-F.2    Yu, Y.-J.3    Yu, R.-Q.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.