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Volumn 6, Issue 2, 2005, Pages 257-271

Inexact proximal point algorithms and descent methods in optimization

Author keywords

Convex programming; Monotone operators; Proximal methods

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL PROGRAMMING; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EID: 17344362566     PISSN: 13894420     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11081-005-6798-9     Document Type: Article
Times cited : (17)

References (21)
  • 1
    • 0020702681 scopus 로고
    • "Numerical methods for nondifferentiable convex optimization"
    • A. Auslender, "Numerical methods for nondifferentiable convex optimization" Mathematical Programming Studies vol. 30, pp. 102-126, 1987.
    • (1987) Mathematical Programming Studies , vol.30 , pp. 102-126
    • Auslender, A.1
  • 5
    • 11744310763 scopus 로고    scopus 로고
    • "A general approach to convergence properties of some methods for nonsmooth convex optimization"
    • J. R. Birge, L. Qi, and Z. Wei, "A general approach to convergence properties of some methods for nonsmooth convex optimization" Applied Mathematics and Optimization vol. 38, pp. 141-158, 1998.
    • (1998) Applied Mathematics and Optimization , vol.38 , pp. 141-158
    • Birge, J.R.1    Qi, L.2    Wei, Z.3
  • 6
    • 0004041275 scopus 로고    scopus 로고
    • "Numerical methods for unconstrained optimization and nonlinear equations"
    • SIAM
    • J. E. Dennis Jr. and R. B. Schnabel, "Numerical methods for unconstrained optimization and nonlinear equations" SIAM, 1996.
    • (1996)
    • Dennis Jr., J.E.1    Schnabel, R.B.2
  • 7
    • 0027113845 scopus 로고
    • "On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators"
    • J. Eckstein and D. Bertsekas, "On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators" Mathematical Programming vol. 55, pp. 293-318, 1992.
    • (1992) Mathematical Programming , vol.55 , pp. 293-318
    • Eckstein, J.1    Bertsekas, D.2
  • 8
    • 0034223752 scopus 로고    scopus 로고
    • "Strict convex regularizations, proximal point and augmented Lagrangians"
    • C. Humes and P. J. S. Silva, "Strict convex regularizations, proximal point and augmented Lagrangians" RAIRO Operations Research vol. 34, no. 3, pp. 283-303, 2000.
    • (2000) RAIRO Operations Research , vol.34 , Issue.3 , pp. 283-303
    • Humes, C.1    Silva, P.J.S.2
  • 12
    • 0009970854 scopus 로고    scopus 로고
    • "Augmented Lagrangian methods and proximal point methods for convex optimization"
    • B
    • A. N. Iusem, B, "Augmented Lagrangian methods and proximal point methods for convex optimization" Investigación Operativa vol. 8, pp. 11-49, 1999.
    • (1999) Investigación Operativa , vol.8 , pp. 11-49
    • Iusem, A.N.1
  • 13
    • 0001566816 scopus 로고
    • "Regularisation d'inéquations variationelles par approximations successives"
    • B. Martinet, "Regularisation d'inéquations variationelles par approximations successives" Revue Française Informatique Recherche Opérationnelle vol. 4, pp. 154-158, 1970.
    • (1970) Revue Française Informatique Recherche Opérationnelle , vol.4 , pp. 154-158
    • Martinet, B.1
  • 14
    • 0001729611 scopus 로고
    • "Détermination approchée d'un point fixe d'une application pseudo-contractante"
    • Séries A et B
    • B. Martinet, "Détermination approchée d'un point fixe d'une application pseudo-contractante" Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences. Séries A et B vol. 274, pp. A163-A165, 1972.
    • (1972) Comptes Rendus Hebdomadaires des Séances de L'Académie des Sciences , vol.274
    • Martinet, B.1
  • 17
    • 0016985417 scopus 로고
    • "Monotone operators and the proximal point algorithm"
    • R. T. Rockafellar, "Monotone operators and the proximal point algorithm" SIAM Journal on Control and Optimization vol. 14, pp. 887-898, 1976a.
    • (1976) SIAM Journal on Control and Optimization , vol.14 , pp. 887-898
    • Rockafellar, R.T.1
  • 18
    • 0016950796 scopus 로고
    • "Augmented Lagrangians and applications of the proximal point algorithm in convex programming"
    • R.T. Rockafellar, "Augmented Lagrangians and applications of the proximal point algorithm in convex programming" Mathematics of Operations Research vol. 1, pp. 97-116, 1976b.
    • (1976) Mathematics of Operations Research , vol.1 , pp. 97-116
    • Rockafellar, R.T.1
  • 20
    • 22844456506 scopus 로고    scopus 로고
    • "A Hybrid projection-proximal point algorithm"
    • M. Solodov and B. F. Svaiter, "A Hybrid projection-proximal point algorithm" Journal of Convex Analysis vol. 6, pp. 59-70, 1999.
    • (1999) Journal of Convex Analysis , vol.6 , pp. 59-70
    • Solodov, M.1    Svaiter, B.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.