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Linear Algebra and Its Applications
Volumn 426, Issue 2-3, 2007, Pages 490-496
A converse inequality of higher order weighted arithmetic and geometric means of positive definite operators
Author keywords

Arithmetic geometric mean inequality; Higher order weighted geometric mean; Positive definite operator; Specht ratio
Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;
EID: 34547855171     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.05.028     Document Type: Article
Times cited : (8)
References (12)
  • 1
    • 34547901359 scopus 로고    scopus 로고
    • On the geometric-arithmetic mean inequality for matrices
    • Alić M., Bullen P.S., Pećarić J., and Volenec V. On the geometric-arithmetic mean inequality for matrices. Math. Commun. 2 (1997) 125-128
    • (1997) Math. Commun. , vol.2 , pp. 125-128
    • Alić, M.1    Bullen, P.S.2    Pećarić, J.3    Volenec, V.4
  • 3
    • 84972570848 scopus 로고
    • Convexity of the geodesic distance on spaces of positive operators
    • Corach G., Porta H., and Recht L. 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
  • 4
    • 0242335055 scopus 로고    scopus 로고
    • Kantorovich type operator inequalities via the Specht ratio
    • Fujii J.I., Seo Y., and Tominaga M. Kantorovich type operator inequalities via the Specht ratio. Linear Algebra Appl. 377 (2004) 69-81
    • (2004) Linear Algebra Appl. , vol.377 , pp. 69-81
    • Fujii, J.I.1    Seo, Y.2    Tominaga, M.3
  • 5
    • 34547912117 scopus 로고    scopus 로고
    • J. Lawson, Y. Lim, Symmetric spaces with convex metrics, Forum Math., in press.
  • 6
    • 34547913037 scopus 로고    scopus 로고
    • J. Lawson, Y. Lim, A general framework for extending means to higher orders, in press. .
  • 7
    • 34547889064 scopus 로고    scopus 로고
    • J. Lawson, Y. Lim, Higher order weighted means and related matrix inequalities, in preparation.
  • 8
    • 34547884995 scopus 로고    scopus 로고
    • Power matrix means and related inequalities
    • Pećarić J. Power matrix means and related inequalities. Math. Commun. 1 (1996) 91-112
    • (1996) Math. Commun. , vol.1 , pp. 91-112
    • Pećarić, J.1
  • 9
    • 34547871974 scopus 로고    scopus 로고
    • Means of positive matrices: geometry and a conjecture
    • Petz D. Means of positive matrices: geometry and a conjecture. Ann. Math. Informaticae 32 (2005) 129-139
    • (2005) Ann. Math. Informaticae , vol.32 , pp. 129-139
    • Petz, D.1
  • 10
    • 33746137762 scopus 로고    scopus 로고
    • Means of positive numbers and matrices
    • Petz D., and Temesi R. Means of positive numbers and matrices. SIAM J. Matrix Anal. Appl. 27 (2005) 712-720
    • (2005) SIAM J. Matrix Anal. Appl. , vol.27 , pp. 712-720
    • Petz, D.1    Temesi, R.2
  • 11
    • 84966219504 scopus 로고
    • On certain contraction mappings in a partially ordered vector space
    • Thompson A.C. On certain contraction mappings in a partially ordered vector space. Proc. Amer. Math. Soc. 14 (1963) 438-443
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 438-443
    • Thompson, A.C.1
  • 12
    • 33646933575 scopus 로고    scopus 로고
    • An extension of Kantorovich inequality to n-operators via the geometric mean by Ando-Li-Mathias
    • Yamazaki T. An extension of Kantorovich inequality to n-operators via the geometric mean by Ando-Li-Mathias. Linear Algebra Appl. 416 (2006) 688-695
    • (2006) Linear Algebra Appl. , vol.416 , pp. 688-695
    • Yamazaki, T.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.