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Volumn 116, Issue 1-2, 2007, Pages 127-131

Bregman divergence as relative operator entropy

Author keywords

Bregman divergence; F divergence; Quantum relative entropy

Indexed keywords


EID: 36949014968     PISSN: 02365294     EISSN: 15882632     Source Type: Journal    
DOI: 10.1007/s10474-007-6014-9     Document Type: Article
Times cited : (27)

References (9)
  • 2
    • 49949144765 scopus 로고
    • The relaxation method to find the common points of convex sets and its application to the solution of problems in convex programming
    • L. M. Bregman, The relaxation method to find the common points of convex sets and its application to the solution of problems in convex programming, USSR Compt. Math. and Math. Phys., 7 (1967), 200-217.
    • (1967) USSR Compt. Math. and Math. Phys. , vol.7 , pp. 200-217
    • Bregman, L.M.1
  • 3
    • 0025595687 scopus 로고
    • Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
    • I. Csiszár, Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems, Ann. Statist., 19 (1991), 2032-2066.
    • (1991) Ann. Statist. , vol.19 , pp. 2032-2066
    • Csiszár, I.1
  • 4
    • 0010937262 scopus 로고
    • Relative operator entropy in noncommutative information theory
    • J. I. Fujii and E. Kamei, Relative operator entropy in noncommutative information theory, Math. Japon., 34 (1989), 341-348.
    • (1989) Math. Japon. , vol.34 , pp. 341-348
    • Fujii, J.I.1    Kamei, E.2
  • 5
    • 27844546708 scopus 로고    scopus 로고
    • Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications
    • T. Furuta, Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications, Linear Algebra Appl., 412 (2006), 526-537.
    • (2006) Linear Algebra Appl. , vol.412 , pp. 526-537
    • Furuta, T.1
  • 8
    • 85008571251 scopus 로고
    • Quasi-entropies for states of a von Neumann algebra
    • D. Petz, Quasi-entropies for states of a von Neumann algebra, Publ. RIMS. Kyoto Univ., 21 (1985), 781-800.
    • (1985) Publ. RIMS. Kyoto Univ. , vol.21 , pp. 781-800
    • Petz, D.1
  • 9
    • 0002988067 scopus 로고
    • Quasi-entropies for finite quantum systems
    • D. Petz, Quasi-entropies for finite quantum systems, Rep. Math. Phys., 23 (1986), 57-65.
    • (1986) Rep. Math. Phys. , vol.23 , pp. 57-65
    • Petz, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.