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Volumn 18, Issue 1, 2004, Pages 2-11

First-order perturbation analysis of the best rank-(R1, R 2, R3) approximation in multilinear algebra

Author keywords

Higher order tensors; Multilinear algebra; Perturbation analysis; Rank reduction; Singular value decomposition

Indexed keywords

LEAST SQUARES APPROXIMATIONS; PERTURBATION TECHNIQUES; SINGULAR VALUE DECOMPOSITION;

EID: 2642555525     PISSN: 08869383     EISSN: None     Source Type: Journal    
DOI: 10.1002/cem.838     Document Type: Conference Paper
Times cited : (19)

References (15)
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    • Tucker, L.R.1
  • 2
    • 0002332422 scopus 로고
    • Principal component analysis of three-mode data by means of alternating least squares algorithms
    • Kroonenberg PM, de Leeuw J. Principal component analysis of three-mode data by means of alternating least squares algorithms. Psychometrika 1980; 45: 69-97.
    • (1980) Psychometrika , vol.45 , pp. 69-97
    • Kroonenberg, P.M.1    De Leeuw, J.2
  • 3
    • 0002369491 scopus 로고
    • Three-mode principal component analysis: Illustrated with an example from attachment theory
    • Law HG, Snyder CW, Hattie JA, McDonald RP (eds). Praeger: New York
    • Kroonenberg PM. Three-mode principal component analysis: illustrated with an example from attachment theory. In Research Methods for Multimode Data Analysis, Law HG, Snyder CW, Hattie JA, McDonald RP (eds). Praeger: New York, 1984, 64-103.
    • (1984) Research Methods for Multimode Data Analysis , pp. 64-103
    • Kroonenberg, P.M.1
  • 5
    • 0000311581 scopus 로고
    • Some additional results on principal components analysis of three-mode data by means of alternating least squares algorithms
    • Ten Berghe J, de Leeuw J, Kroonenberg PM. Some additional results on principal components analysis of three-mode data by means of alternating least squares algorithms. Psychometrika 1987; 52: 183-191.
    • (1987) Psychometrika , vol.52 , pp. 183-191
    • Ten Berghe, J.1    De Leeuw, J.2    Kroonenberg, P.M.3
  • 7
    • 0000666371 scopus 로고
    • The extension of factor analysis to three-dimensional matrices
    • Gulliksen H, Frederiksen N (eds). Holt, Rinehart and Winston: New York
    • Tucker LR. The extension of factor analysis to three-dimensional matrices. In Contributions to Mathematical Psychology, Gulliksen H, Frederiksen N (eds). Holt, Rinehart and Winston: New York, 1964; 109-127.
    • (1964) Contributions to Mathematical Psychology , pp. 109-127
    • Tucker, L.R.1
  • 8
    • 0030813663 scopus 로고    scopus 로고
    • PARAFAC. Tutorial and applications
    • Bro R. PARAFAC. Tutorial and applications. Chemometrics Intell. Lab. Syst. 1997; 38: 149-171.
    • (1997) Chemometrics Intell. Lab. Syst. , vol.38 , pp. 149-171
    • Bro, R.1
  • 13
    • 0001715464 scopus 로고
    • Analytic properties of singular values and vectors
    • ESAT/SCD, KU Leuven
    • De Moor B, Boyd S. Analytic properties of singular values and vectors. Tech. Rep. 89-28, ESAT/SCD, KU Leuven, 1989.
    • (1989) Tech. Rep. 89-28
    • De Moor, B.1    Boyd, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.