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Volumn 38, Issue 2, 1998, Pages 141-158

A general approach to convergence properties of some methods for nonsmooth convex optimization

Author keywords

Convergence rate; Global convergence; Nonsmooth convex minimization

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; OPTIMIZATION; THEOREM PROVING;

EID: 11744310763     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002459900086     Document Type: Article
Times cited : (15)

References (17)
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    • Auslender, A.1
  • 2
    • 0001312570 scopus 로고
    • Convex functions with unbounded level sets and applications to duality theory
    • Auslender A, Cominetti R, Crouzeix JP (1993) Convex functions with unbounded level sets and applications to duality theory, SIAM Journal on Optimization 3: 669-687
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    • Auslender, A.1    Cominetti, R.2    Crouzeix, J.P.3
  • 3
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    • Well behaved asymptotical convex functions
    • (Perpignan, 1987), Université de Montréal, Montréal
    • Auslender A, Crouzeix JP (1989) Well behaved asymptotical convex functions, in: Analyse Non-linéare (Perpignan, 1987), Université de Montréal, Montréal, pp 101-122
    • (1989) Analyse Non-linéare , pp. 101-122
    • Auslender, A.1    Crouzeix, J.P.2
  • 6
    • 33646971357 scopus 로고
    • Convergence of some algorithms for convex minimization
    • Correa R, Lemaréchal C (1993) Convergence of some algorithms for convex minimization, Mathematical Programming 62: 261-275
    • (1993) Mathematical Programming , vol.62 , pp. 261-275
    • Correa, R.1    Lemaréchal, C.2
  • 8
    • 0026123473 scopus 로고
    • On the convergence of the proximal point algorithm for convex minimization
    • Güler O (1991) On the convergence of the proximal point algorithm for convex minimization, SIAM Journal on Control and Optimization 29: 403-419
    • (1991) SIAM Journal on Control and Optimization , vol.29 , pp. 403-419
    • Güler, O.1
  • 9
    • 0020912156 scopus 로고
    • An aggregate subgradient method for nonsmooth convex minimization
    • Kiwiel KC (1983) An aggregate subgradient method for nonsmooth convex minimization, Mathematical Programming 27: 320-341
    • (1983) Mathematical Programming , vol.27 , pp. 320-341
    • Kiwiel, K.C.1
  • 10
    • 0007113521 scopus 로고
    • About the convergence of the proximal method
    • D. Pallaschke, ed, Advances in Optimization. Springer-Verlag, Berlin
    • Lemaire B (1992) About the convergence of the proximal method, in: D. Pallaschke, ed, Advances in Optimization. Lecture Notes in Economics and Mathematics Systems, Springer-Verlag, Berlin, pp 39-51
    • (1992) Lecture Notes in Economics and Mathematics Systems , pp. 39-51
    • Lemaire, B.1
  • 11
    • 0000686629 scopus 로고
    • A general methods for solving extremum problems
    • Poljak BT (1967) A general methods for solving extremum problems, Soviet Mathematics Doklady 8: 593-597
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  • 12
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar RT (1970) Convex Analysis, Princeton University Press, Princeton, NJ
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  • 14
    • 0009285418 scopus 로고
    • On convergence properties of algorithms for unconstrained minimization
    • Todd MJ (1989) On convergence properties of algorithms for unconstrained minimization, IMA Journal of Numerical Analysis 9: 435-441
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  • 17
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    • Convergence properties of descent methods for unconstrained minimization
    • Wu SQ (1992) Convergence properties of descent methods for unconstrained minimization, Optimization 26: 229-237
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    • Wu, S.Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.