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Volumn 436, Issue 5, 2012, Pages 1473-1481

Majorization for the eigenvalues of Euclidean distance matrices

Author keywords

Eigenvalues; Euclidean distance matrix; Majorization; Orthogonal group; Positive semidefinite matrix

Indexed keywords

EIGENVALUES; EUCLIDEAN DISTANCE MATRICES; MAJORIZATION; ORTHOGONAL GROUP; POSITIVE SEMIDEFINITE MATRICES;

EID: 84855909556     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2011.08.022     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 79956318615 scopus 로고    scopus 로고
    • On the eigenvalues of Euclidean distance matrices
    • A.Y. Alfakih On the eigenvalues of Euclidean distance matrices Comput. Appl. Math. 27 2008 237 250
    • (2008) Comput. Appl. Math. , vol.27 , pp. 237-250
    • Alfakih, A.Y.1
  • 2
    • 0039155326 scopus 로고
    • On group induced orderings, monotone functions, and convolution theorems
    • (Lincoln, Neb., 1982) IMS Lecture Notes Monograph
    • M.L. Eaton, On group induced orderings, monotone functions, and convolution theorems, in: Inequalities in Statistics and Probability (Lincoln, Neb., 1982), 13-25, IMS Lecture Notes Monograph, vol. 5, 1984.
    • (1984) Inequalities in Statistics and Probability , vol.5 , pp. 13-25
    • Eaton, M.L.1
  • 4
    • 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
  • 5
    • 21844491255 scopus 로고
    • Connections between the real positive semidefinite and distance matrix completion problems
    • C.R. Johnson, and P. Tarazaga Connections between the real positive semidefinite and distance matrix completion problems Linear Algebra Appl. 223/224 1995 375 391
    • (1995) Linear Algebra Appl. , vol.223-224 , pp. 375-391
    • Johnson, C.R.1    Tarazaga, P.2
  • 6
    • 0346961496 scopus 로고    scopus 로고
    • Inequalities associated with intra-inter-class correlation matrices
    • DOI 10.1016/S0047-259X(03)00103-9
    • H. Kurata Inequalities associated with intra-inter-class correlation matrices J. Multivariate Anal. 88 2004 207 221 (Pubitemid 38033253)
    • (2004) Journal of Multivariate Analysis , vol.88 , Issue.2 , pp. 207-221
    • Kurata, H.1
  • 7
    • 33751012127 scopus 로고    scopus 로고
    • A group majorization ordering for Euclidean distance matrices
    • DOI 10.1016/j.laa.2006.08.013, PII S0024379506003892
    • H. Kurata, and T. Sakuma Group majorization ordering for Euclidean distance matrices Linear Algebra Appl. 420 2007 586 595 (Pubitemid 44751786)
    • (2007) Linear Algebra and Its Applications , vol.420 , Issue.2-3 , pp. 586-595
    • Kurata, H.1    Sakuma, T.2
  • 9
    • 0001203499 scopus 로고
    • Remarks to Maurice Frechet's article "sur la definition axiomatique d'une classe despaces vectoriels distancies applicables vectriellement sur l'space de Hilbert"
    • I.J. Schoenberg Remarks to Maurice Frechet's article "Sur la definition axiomatique d'une classe despaces vectoriels distancies applicables vectriellement sur l'space de Hilbert" Ann. Math. 36 1935 724 732
    • (1935) Ann. Math. , vol.36 , pp. 724-732
    • Schoenberg, I.J.1
  • 11
    • 24344433905 scopus 로고    scopus 로고
    • Faces of the cone of Euclidean distance matrices: Characterizations, structure and induced geometry
    • DOI 10.1016/j.laa.2005.03.038, PII S0024379505001722
    • P. Tarazaga Faces of the cone of Euclidean distance matrices: characterizations, structure and induced geometry Linear Algebra Appl. 408 2005 1 13 (Pubitemid 41260467)
    • (2005) Linear Algebra and Its Applications , vol.408 , Issue.1-3 , pp. 1-13
    • Tarazaga, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.