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Volumn 64, Issue 3, 1999, Pages 317-324

Retrieving the correlation matrix from a truncated PCA solution: The inverse principal component problem

Author keywords

Inverse eigenvalue problems; Ledermann bound; Principal component analysis

Indexed keywords


EID: 0033246003     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02294298     Document Type: Article
Times cited : (5)

References (12)
  • 3
    • 0009284930 scopus 로고    scopus 로고
    • On the least squares solution of inverse eigenvalue problems
    • Chen, X., & Chu, M.T. (1996). On the least squares solution of inverse eigenvalue problems. SIAM Journal of Numerical Analysis, 33, 2417-2430.
    • (1996) SIAM Journal of Numerical Analysis , vol.33 , pp. 2417-2430
    • Chen, X.1    Chu, M.T.2
  • 4
    • 0032012860 scopus 로고    scopus 로고
    • Inverse eigenvalue problems
    • Chu, M.T. (1998). Inverse eigenvalue problems. SIAM Review, 40, 1-39.
    • (1998) SIAM Review , vol.40 , pp. 1-39
    • Chu, M.T.1
  • 6
    • 0023366336 scopus 로고
    • The formulation and analysis of numerical methods for inverse eigenvalue problems
    • Friedland, S., Nocedal, J., & Overton, M.L. (1987). The formulation and analysis of numerical methods for inverse eigenvalue problems. SIAM Journal of Numerical Analysis, 24, 634-667.
    • (1987) SIAM Journal of Numerical Analysis , vol.24 , pp. 634-667
    • Friedland, S.1    Nocedal, J.2    Overton, M.L.3
  • 7
    • 0000947378 scopus 로고
    • To what extent can communalities reduce rank?
    • Guttman, L. (1958). To what extent can communalities reduce rank? Psychometrika, 23, 297-308.
    • (1958) Psychometrika , vol.23 , pp. 297-308
    • Guttman, L.1
  • 9
    • 0001926319 scopus 로고
    • On the rank of the reduced correlation matrix in multiple-factor analysis
    • Ledermann, W. (1937). On the rank of the reduced correlation matrix in multiple-factor analysis. Psychometrika, 2, 85-93.
    • (1937) Psychometrika , vol.2 , pp. 85-93
    • Ledermann, W.1
  • 10
    • 0000817270 scopus 로고
    • Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis
    • Shapiro, A. (1982). Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis. Psychometrika, 47, 187-199.
    • (1982) Psychometrika , vol.47 , pp. 187-199
    • Shapiro, A.1
  • 11
    • 0002438695 scopus 로고
    • Identifiability of factor analysis: Some results and some open problems
    • Shapiro, A. (1985). Identifiability of factor analysis: Some results and some open problems. Linear Algebra & Applications, 70, 1-7.
    • (1985) Linear Algebra & Applications , vol.70 , pp. 1-7
    • Shapiro, A.1
  • 12
    • 0009283812 scopus 로고
    • The resolution of six tests into three general factors
    • Wilson, E.B., & Worcester, J. (1939). The resolution of six tests into three general factors. Proc. Nat. Acad. Sci. USA, 25, 73-77.
    • (1939) Proc. Nat. Acad. Sci. USA , vol.25 , pp. 73-77
    • Wilson, E.B.1    Worcester, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.