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Volumn 6, Issue 3, 1996, Pages 626-637

Asymptotic convergence analysis of some inexact proximal point algorithms for minimization

Author keywords

Bundle method; Convex minimization; Linear convergence; Proximal point algorithm

Indexed keywords


EID: 0030303854     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623494255923     Document Type: Article
Times cited : (5)

References (10)
  • 2
    • 33646971357 scopus 로고
    • Convergence of some algorithms for convex minimization
    • R. CORREA AND C. LEMARÉCHAL, Convergence of some algorithms for convex minimization, Math. Programming, 62 (1993), pp. 261-275.
    • (1993) Math. Programming , vol.62 , pp. 261-275
    • Correa, R.1    Lemaréchal, C.2
  • 3
    • 0026123473 scopus 로고
    • On the convergence of the proximal point algorithm for convex minimization
    • O. GÜLER, On the convergence of the proximal point algorithm for convex minimization, SIAM J. Control Optim., 29 (1991), pp. 403-419.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 403-419
    • Güler, O.1
  • 4
    • 0001413137 scopus 로고
    • Asymptotic convergence analysis of the proximal point algorithm
    • F. J. LUQUE, Asymptotic convergence analysis of the proximal point algorithm, SIAM J. Control Optim., 22 (1984), pp. 277-293.
    • (1984) SIAM J. Control Optim. , vol.22 , pp. 277-293
    • Luque, F.J.1
  • 5
    • 0001566816 scopus 로고
    • Regularisation d'inéquations variationelles par approximations successives
    • B. MARTINET, Regularisation d'inéquations variationelles par approximations successives, Rev. Française Inf. Rech. Oper. (1970), pp. 154-159.
    • (1970) Rev. Française Inf. Rech. Oper. , pp. 154-159
    • Martinet, B.1
  • 6
    • 0001729611 scopus 로고
    • Determination approchée d'un point fixe d'une application pseudo-contractante
    • _, Determination approchée d'un point fixe d'une application pseudo-contractante, C. R. Acad. Sci. Paris Sér. I Math., 274 (1972), pp. 163-165.
    • (1972) C. R. Acad. Sci. Paris Sér. I Math. , vol.274 , pp. 163-165
  • 7
    • 84972488065 scopus 로고
    • Monotone (nonlinear) operators in Hilbert space
    • G. J. MINTY, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29 (1962), pp. 341-346.
    • (1962) Duke Math. J. , vol.29 , pp. 341-346
    • Minty, G.J.1
  • 8
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 9
    • 0016985417 scopus 로고
    • Monotone operators and the proximal point algorithm
    • _, Monotone operators and the proximal point algorithm, SIAM J. Control Optim., 14 (1976), pp. 877-898.
    • (1976) SIAM J. Control Optim. , vol.14 , pp. 877-898
  • 10
    • 0011343323 scopus 로고
    • Asymptotic convergence analysis of the forward-backward splitting algorithm
    • C. ZHU, Asymptotic convergence analysis of the forward-backward splitting algorithm, Math. Oper. Res., 20 (1995), pp. 449-464.
    • (1995) Math. Oper. Res. , vol.20 , pp. 449-464
    • Zhu, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.