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Volumn 397, Issue 1-3, 2005, Pages 253-264

On the diagonal scaling of Euclidean distance matrices to doubly stochastic matrices

Author keywords

Distance geometry; Stereographic projection

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; GEOMETRY; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; RANDOM PROCESSES; SET THEORY; THEOREM PROVING;

EID: 12444252128     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.10.023     Document Type: Article
Times cited : (8)

References (14)
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    • Brualdi, R.1    Parter, S.2    Schneider, H.3
  • 2
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    • Some distance properties of latent root and vector methods in multivariate analysis
    • J.C. Gower Some distance properties of latent root and vector methods in multivariate analysis Biometrika 53 1966 315 328
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    • Gower, J.C.1
  • 3
    • 38249000950 scopus 로고
    • Distance matrices and regular figures
    • T.L. Hayden, and P. Tarazaga Distance matrices and regular figures Linear Algebra Appl. 195 1993 9 16
    • (1993) Linear Algebra Appl. , vol.195 , pp. 9-16
    • Hayden, T.L.1    Tarazaga, P.2
  • 4
    • 0033416575 scopus 로고    scopus 로고
    • Methods for constructing distance matrices and the inverse eigenvalue problem
    • T.L. Hayden, R. Reams, and J. Wells Methods for constructing distance matrices and the inverse eigenvalue problem Linear Algebra Appl. 295 1999 97 112
    • (1999) Linear Algebra Appl. , vol.295 , pp. 97-112
    • Hayden, T.L.1    Reams, R.2    Wells, J.3
  • 7
    • 0347304804 scopus 로고    scopus 로고
    • A theorem of the alternative for multihomogeneous functions and its relationship to diagonal scaling of matrices
    • B. Kalantari A theorem of the alternative for multihomogeneous functions and its relationship to diagonal scaling of matrices Linear Algebra Appl. 236 1996 1 24
    • (1996) Linear Algebra Appl. , vol.236 , pp. 1-24
    • Kalantari, B.1
  • 8
    • 21344440918 scopus 로고    scopus 로고
    • On the complexity of nonnegative-matrix scaling
    • B. Kalantari, and L. Khachiyan On the complexity of nonnegative-matrix scaling Linear Algebra Appl. 240 1996 87 103
    • (1996) Linear Algebra Appl. , vol.240 , pp. 87-103
    • Kalantari, B.1    Khachiyan, L.2
  • 9
    • 12444327730 scopus 로고    scopus 로고
    • On the diagonal scaling of squared distance matrices to doubly stochastic matrices
    • Department of Mathematics, College of William and Mary, Williamsburg, VA
    • R.D. Masson, On the diagonal scaling of squared distance matrices to doubly stochastic matrices, REU Report, Department of Mathematics, College of William and Mary, Williamsburg, VA, 2000
    • (2000) REU Report
    • Masson, R.D.1
  • 10
    • 0001203499 scopus 로고
    • Remarks to Maurice Fréchet's article "sur la définition axiomatique d'une classe d'espaces distanciés vectoriellement applicable sur l'espace de Hilbert"
    • I.J. Schoenberg Remarks to Maurice Fréchet's article "Sur la définition axiomatique d'une classe d'espaces distanciés vectoriellement applicable sur l'espace de Hilbert" Ann. Math. 38 1935 724 732
    • (1935) Ann. Math. , vol.38 , pp. 724-732
    • Schoenberg, I.J.1
  • 11
    • 0000142394 scopus 로고
    • A relationship between arbitrary positive matrices and doubly stochastic matrices
    • R. Sinkhorn A relationship between arbitrary positive matrices and doubly stochastic matrices Ann. Math. Stat. 35 1964 876 879
    • (1964) Ann. Math. Stat. , vol.35 , pp. 876-879
    • Sinkhorn, R.1
  • 13
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    • Multidimensional scaling: I. Theory and method
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  • 14
    • 0002361037 scopus 로고
    • Discussion of a set of points in terms of their mutual distances
    • G. Young, and A.S. Householder Discussion of a set of points in terms of their mutual distances Psychometrika 3 1938 19 22
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    • Young, G.1    Householder, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.