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Volumn 22, Issue 1 SPEC. ISS., 2006, Pages 50-70

Optimal algorithms for global optimization in case of unknown Lipschitz constant

Author keywords

Complexity; Global optimization; Lipschitz functions; Optimal rate of convergence

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; GLOBAL OPTIMIZATION; MONTE CARLO METHODS;

EID: 30344439147     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2005.06.006     Document Type: Article
Times cited : (16)

References (9)
  • 2
    • 4444279251 scopus 로고    scopus 로고
    • Lower bounds on complexity of optimization of continuous functions
    • J.M. Calvin Lower bounds on complexity of optimization of continuous functions J. Complexity 20 2004 773 795
    • (2004) J. Complexity , vol.20 , pp. 773-795
    • Calvin, J.M.1
  • 3
    • 0027678534 scopus 로고
    • Lipschitzian optimization without the Lipschitz constant
    • D.R. Jones, C.D. Perttunen, and B.E. Stuckman Lipschitzian optimization without the Lipschitz constant J. Optim. Theory Appl. 79 1 1993 157 181
    • (1993) J. Optim. Theory Appl. , vol.79 , Issue.1 , pp. 157-181
    • Jones, D.R.1    Perttunen, C.D.2    Stuckman, B.E.3
  • 4
    • 0040546219 scopus 로고
    • Polynomial time methods in convex programming
    • 1995, Park City, Utah, American Mathematical Society, Providence, RI
    • A. Nemirovski, Polynomial time methods in convex programming, AMS-SIAM Summer Seminar in Applied Mathematics, 1995, Park City, Utah, American Mathematical Society, Providence, RI, 1995, pp. 543-589.
    • (1995) AMS-SIAM Summer Seminar in Applied Mathematics , pp. 543-589
    • Nemirovski, A.1
  • 5
    • 0003211763 scopus 로고
    • Deterministic and stochastic error bounds in numerical analysis
    • Springer, Berlin
    • E. Novak, Deterministic and stochastic error bounds in numerical analysis, Springer Lecture Notes in Mathematics, vol. 1349, Springer, Berlin, 1988.
    • (1988) Springer Lecture Notes in Mathematics , vol.1349
    • Novak, E.1
  • 6
    • 0002357859 scopus 로고
    • The real number model in numerical analysis
    • E. Novak The real number model in numerical analysis J. Complexity 11 1995 57 73
    • (1995) J. Complexity , vol.11 , pp. 57-73
    • Novak, E.1
  • 7
    • 30344452223 scopus 로고
    • The complexity of the computation of the global extremum in a class of multi-extremum problems
    • A.G. Perevozchikov The complexity of the computation of the global extremum in a class of multi-extremum problems USSR Comput. Math. and Math. Phys. 30 2 1990 28 33
    • (1990) USSR Comput. Math. and Math. Phys. , vol.30 , Issue.2 , pp. 28-33
    • Perevozchikov, A.G.1
  • 8
    • 0001242202 scopus 로고
    • Approximation on the Wiener space
    • K. Ritter Approximation on the Wiener space J. Complexity 6 1990 337 364
    • (1990) J. Complexity , vol.6 , pp. 337-364
    • Ritter, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.