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Volumn 109, Issue 2-3, 2007, Pages 319-344

Dual extrapolation and its applications to solving variational inequalities and related problems

Author keywords

Complexity theory; Convex optimization; Monotone operators; Non smooth optimization; Optimal methods; Variational inequalities

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; EXTRAPOLATION; ITERATIVE METHODS; OPTIMIZATION;

EID: 33846657040     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-006-0034-z     Document Type: Conference Paper
Times cited : (392)

References (7)
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    • Korpelevich, G.: Extrapolation gradient methods and relation to Modified Lagrangeans. Ekonomika i Matematicheskie Metody 19, 694-703 (1983) (in Russian; English translation in Matekon)
  • 2
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    • Informational-based complexity of linear operator equations
    • Nemirovski, A.: Informational-based complexity of linear operator equations. J. Complex. 8, 153-175 (1992)
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    • Nemirovski, A.1
  • 3
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    • Prox-method with rate of convergence O(1/k) for variational inequalities with Lipschitz-continuous monotone operators and smooth convex-concave saddle point problems
    • Nemirovski, A.: Prox-method with rate of convergence O(1/k) for variational inequalities with Lipschitz-continuous monotone operators and smooth convex-concave saddle point problems. SIOPT 15(1), 229-251 (2004)
    • (2004) SIOPT , vol.15 , Issue.1 , pp. 229-251
    • Nemirovski, A.1
  • 5
    • 17444406259 scopus 로고    scopus 로고
    • Smooth minimization of non-smooth functions
    • Nesterov, Yu.: Smooth minimization of non-smooth functions. Math. Program. 103(1), 127-152 (2005)
    • (2005) Math. Program , vol.103 , Issue.1 , pp. 127-152
    • Nesterov, Y.1
  • 6
    • 33144470576 scopus 로고    scopus 로고
    • Excessive gap technique in non-smooth convex minimization
    • Nesterov, Yu.: Excessive gap technique in non-smooth convex minimization. SIAM J. Optim. 16(1), 235-249 (2005)
    • (2005) SIAM J. Optim , vol.16 , Issue.1 , pp. 235-249
    • Nesterov, Y.1
  • 7
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    • Homogeneous analytic center cutting plane methods for convex problems and variational inequalities
    • Nesterov, Yu., Vial, J.-Ph.: Homogeneous analytic center cutting plane methods for convex problems and variational inequalities. SIAM J. Optim. 9(3), 707-728 (1999)
    • (1999) SIAM J. Optim , vol.9 , Issue.3 , pp. 707-728
    • Nesterov, Y.1    Vial, J.-P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.