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Volumn 10, Issue 1, 2003, Pages 245-254

Redundant axioms in the definition of Bregman functions

Author keywords

Bregman distance; Bregman function; Kullback Leibler distance; Modulus of total convexity; Sequential consistency; Totally convex function

Indexed keywords


EID: 0041328876     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 21744459385 scopus 로고    scopus 로고
    • Legendre functions and the method of random Bregman projections
    • H. H. Bauschke, J. M. Borwein: Legendre functions and the method of random Bregman projections, Journal of Convex Analysis 4 (1997) 27-67.
    • (1997) Journal of Convex Analysis , vol.4 , pp. 27-67
    • Bauschke, H.H.1    Borwein, J.M.2
  • 3
    • 49949144765 scopus 로고
    • The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming
    • L. M. Bregman: The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming, USSR Computational Mathematics and Mathematical Physics 7 (1967) 200-217.
    • (1967) USSR Computational Mathematics and Mathematical Physics , vol.7 , pp. 200-217
    • Bregman, L.M.1
  • 4
    • 0031188734 scopus 로고    scopus 로고
    • Iterative averaging of entropic projections for solving stochastic convex feasibility problems
    • D. Butnariu, Y. Censor, S. Reich: Iterative averaging of entropic projections for solving stochastic convex feasibility problems, Computational Optimization and Applications 8 (1997) 21-39.
    • (1997) Computational Optimization and Applications , vol.8 , pp. 21-39
    • Butnariu, D.1    Censor, Y.2    Reich, S.3
  • 6
    • 0035565698 scopus 로고    scopus 로고
    • Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback-Leibler distance minimization
    • C. Byrne, Y. Censor: Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback-Leibler distance minimization, Annals of Operations Research 105 (2001) 77-98.
    • (2001) Annals of Operations Research , vol.105 , pp. 77-98
    • Byrne, C.1    Censor, Y.2
  • 9
    • 0031146730 scopus 로고    scopus 로고
    • Free-steering relaxation methods for problems with strictly convex costs and linear constraints
    • K. Kiwiel: Free-steering relaxation methods for problems with strictly convex costs and linear constraints, Mathematics of Operations Research 22 (1997) 326-349.
    • (1997) Mathematics of Operations Research , vol.22 , pp. 326-349
    • Kiwiel, K.1
  • 10
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • R. T. Rockafellar: Convex Analysis, Princeton University Press, Princeton, New Jersey (1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 11
    • 0034187944 scopus 로고    scopus 로고
    • An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions
    • M. V. Solodov, B. F. Svaiter: An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions, Mathematics of Operations Research 25 (2000) 214-230.
    • (2000) Mathematics of Operations Research , vol.25 , pp. 214-230
    • Solodov, M.V.1    Svaiter, B.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.