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Volumn 27, Issue 3, 2005, Pages 712-720

Means of positive numbers and matrices

Author keywords

Geometric mean; Logarithmic mean; Matrix mean

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; GEOMETRY; LINEAR ALGEBRA; MATHEMATICAL MODELS; NUMBER THEORY;

EID: 33746137762     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/050621906     Document Type: Article
Times cited : (48)

References (13)
  • 2
    • 33746132562 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • R. BHATIA, Matrix Analytic, Springer-Verlag, New York, 1996.
    • (1996) Matrix Analytic
    • Bhatia, R.1
  • 4
    • 0000648833 scopus 로고
    • The logarithmic mean
    • B. C. CARLSON, The logarithmic mean, Amer. Math. Monthly, 79 (1973), pp. 615-618.
    • (1973) Amer. Math. Monthly , vol.79 , pp. 615-618
    • Carlson, B.C.1
  • 5
    • 11044227082 scopus 로고    scopus 로고
    • Means of hilbert space operators
    • Springer-Verlag, Berlin
    • F. HIAI AND H. KOSAKI, Means of Hilbert Space Operators, Lecture Notes In Math. 1830, Springer-Verlag, Berlin, 2003.
    • (2003) Lecture Notes in Math. , vol.1830
    • Hiai, F.1    Kosaki, H.2
  • 6
    • 33746120936 scopus 로고
    • Means of positive linear operators
    • F. KUBO AND T. ANDO, Means of positive linear operators, Math. Ann., 346 (1980), pp. 306-334.
    • (1980) Math. Ann. , vol.346 , pp. 306-334
    • Kubo, F.1    Ando, T.2
  • 8
    • 22944439423 scopus 로고    scopus 로고
    • A differential geometric approach to the geometric mean of Symmetric potitive-definite matrices
    • M. MOAKHER, A differential geometric approach to the geometric mean of Symmetric potitive-definite matrices, SIAM J. Matrix Anal. Appl., 26 (2006), pp. 736-747.
    • (2006) SIAM J. Matrix Anal. Appl. , vol.26 , pp. 736-747
    • Moakher, M.1
  • 10
    • 0001314068 scopus 로고
    • The weighted logarithmic mean
    • E. NEUMAN, The weighted logarithmic mean, J. Math. Anal. Appl., 188 (1994), pp. 886-900.
    • (1994) J. Math. Anal. Appl. , vol.188 , pp. 886-900
    • Neuman, E.1
  • 11
    • 0030501619 scopus 로고    scopus 로고
    • Monotone metrics on matrix spaces
    • D. PETZ, Monotone metrics on matrix spaces, Linear Algebra Appl., 344 (1996), pp. 81-96.
    • (1996) Linear Algebra Appl. , vol.344 , pp. 81-96
    • Petz, D.1
  • 12
    • 0002922473 scopus 로고
    • The logarithmic mean in n variables
    • A. O. PITTENGER, The logarithmic mean in n variables, Amer. Math. Monthly, 92 (1986), pp. 99-104.
    • (1986) Amer. Math. Monthly , vol.92 , pp. 99-104
    • Pittenger, A.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.