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Volumn 435, Issue 2, 2011, Pages 307-322

Multi-variable weighted geometric means of positive definite matrices

Author keywords

ALM geometric mean; Elementary symmetric polynomial; Positive definite operators; Thompson metric; Weighted geometric mean

Indexed keywords

ELEMENTARY SYMMETRIC POLYNOMIAL; GEOMETRIC MEAN; N-TUPLES; POSITIVE DEFINITE; POSITIVE PROBABILITY; POSITIVE-DEFINITE MATRICES; THOMPSON;

EID: 79952748045     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2011.01.026     Document Type: Article
Times cited : (18)

References (14)
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    • Bini, D.1    Meini, B.2    Poloni, F.3
  • 4
    • 84972570848 scopus 로고
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    • G. Corach, H. Porta, and L. Recht Convexity of the geodesic distance on spaces of positive operators Illinois J. Math. 38 1994 87 94
    • (1994) Illinois J. Math. , vol.38 , pp. 87-94
    • Corach, G.1    Porta, H.2    Recht, L.3
  • 5
    • 34748832992 scopus 로고    scopus 로고
    • A reverse inequality for the weighted geometric mean due to Lawson-Lim
    • DOI 10.1016/j.laa.2007.07.025, PII S0024379507003370
    • J.I. Fujii, M. Fujii, M. Nakamura, J. Pečarić, and Y. Seo A reverse inequality for the weighted geometric mean due to Lawson-Lim Linear Algebra Appl. 427 2007 272 284 (Pubitemid 47470071)
    • (2007) Linear Algebra and Its Applications , vol.427 , Issue.2-3 , pp. 272-284
    • Fujii, J.I.1    Fujii, M.2    Nakamura, M.3    Pecaric, J.4    Seo, Y.5
  • 6
    • 72949122880 scopus 로고    scopus 로고
    • Geometric means of positive operators II
    • S. Izumino, and N. Nakamura Geometric means of positive operators II Sci. Math. Jpn. 69 2009 35 44
    • (2009) Sci. Math. Jpn. , vol.69 , pp. 35-44
    • Izumino, S.1    Nakamura, N.2
  • 7
    • 72949102628 scopus 로고    scopus 로고
    • Weighted geometric mean of n-operators with n-parameters
    • C. Jung, H. Lee, Y. Lim, and T. Yamazaki Weighted geometric mean of n-operators with n-parameters Linear Algebra Appl. 432 2010 1515 1530
    • (2010) Linear Algebra Appl. , vol.432 , pp. 1515-1530
    • Jung, C.1    Lee, H.2    Lim, Y.3    Yamazaki, T.4
  • 8
    • 34848813795 scopus 로고    scopus 로고
    • Symmetric spaces with convex metrics
    • J.D. Lawson, and Y. Lim Symmetric spaces with convex metrics Forum Math. 19 2007 571 602
    • (2007) Forum Math. , vol.19 , pp. 571-602
    • Lawson, J.D.1    Lim, Y.2
  • 9
    • 39749192606 scopus 로고    scopus 로고
    • Metric convexity of symmetric cones
    • J.D. Lawson, and Y. Lim Metric convexity of symmetric cones Osaka J. Math. 44 2007 795 816
    • (2007) Osaka J. Math. , vol.44 , pp. 795-816
    • Lawson, J.D.1    Lim, Y.2
  • 10
    • 77955948060 scopus 로고    scopus 로고
    • A general framework for extending means to higher orders
    • J.D. Lawson, and Y. Lim A general framework for extending means to higher orders Colloq. Math. 113 2008 191 221
    • (2008) Colloq. Math. , vol.113 , pp. 191-221
    • Lawson, J.D.1    Lim, Y.2
  • 14
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    • On certain contraction mappings in a partially ordered vector space
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    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 438-443
    • Thompson, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.