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Volumn 14, Issue 2, 1999, Pages 205-216

Extension of Piyavskii's Algorithm to Continuous Global Optimization

Author keywords

Global optimization; Lipschitz continuity; Piyavskii's algorithm; Uniform Continuity

Indexed keywords


EID: 0347130294     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008395413111     Document Type: Article
Times cited : (28)

References (12)
  • 3
    • 0346440245 scopus 로고
    • On the number of iterations of Piyavskii's global optimization algorithm
    • Hansen, P., Jaumard, B. and Lu, S. (1991), On the number of iterations of Piyavskii's global optimization algorithm, Mathematics of Operations Research 16: 334-350.
    • (1991) Mathematics of Operations Research , vol.16 , pp. 334-350
    • Hansen, P.1    Jaumard, B.2    Lu, S.3
  • 4
    • 0027113830 scopus 로고
    • Global optimization of univariate Lipschitz functions: I. Survey and properties
    • Hansen, P., Jaumard, B. and Lu, S. (1992a), Global optimization of univariate Lipschitz functions: I. Survey and properties, Mathematical Programming 55: 251-272.
    • (1992) Mathematical Programming , vol.55 , pp. 251-272
    • Hansen, P.1    Jaumard, B.2    Lu, S.3
  • 5
    • 0027113817 scopus 로고
    • Global optimization of univariate Lipschitz functions: II. New algorithms and computational comparison
    • Hansen, P., Jaumard, B. and Lu, S. (1992b), Global optimization of univariate Lipschitz functions: II. New algorithms and computational comparison, Mathematical Programming 55: 273-292.
    • (1992) Mathematical Programming , vol.55 , pp. 273-292
    • Hansen, P.1    Jaumard, B.2    Lu, S.3
  • 7
    • 0040403316 scopus 로고
    • An algorithm for finding the absolute minimum of a function
    • IK Akad. Nauk USSR, Kiev
    • Piyavskii, S. (1967), An algorithm for finding the absolute minimum of a function, Theory of Optimal Solutions, Vol. 2, pp. 13-24, IK Akad. Nauk USSR, Kiev.
    • (1967) Theory of Optimal Solutions , vol.2 , pp. 13-24
    • Piyavskii, S.1
  • 8
    • 0003158358 scopus 로고
    • An algorithm for finding the absolute extremum of a function
    • Piyavskii, S. (1972), An algorithm for finding the absolute extremum of a function, USSR Comput. Math. Math. Phys. 12: 57-67.
    • (1972) USSR Comput. Math. Math. Phys. , vol.12 , pp. 57-67
    • Piyavskii, S.1
  • 9
    • 0038637340 scopus 로고
    • An information global optimization algorithm with local tuning
    • Sergeyev, Y. (1995), An information global optimization algorithm with local tuning, SIAM J. Optimization 5: 858-870.
    • (1995) SIAM J. Optimization , vol.5 , pp. 858-870
    • Sergeyev, Y.1
  • 10
    • 0015401431 scopus 로고
    • A sequential method seeking the global maximum of a function
    • Shubert, B. (1972), A sequential method seeking the global maximum of a function, SIAM J. Numer. Anal. 9: 379-388.
    • (1972) SIAM J. Numer. Anal. , vol.9 , pp. 379-388
    • Shubert, B.1
  • 11
    • 0347070353 scopus 로고
    • An algorithm for search of a global extremum
    • Timonov, L. (1977), An algorithm for search of a global extremum, Engrg. Cybernetics 15: 38-44.
    • (1977) Engrg. Cybernetics , vol.15 , pp. 38-44
    • Timonov, L.1
  • 12
    • 0345808990 scopus 로고
    • Technical Report SOR-91-11, Statistics and Operations Research Series, Princeton University
    • Vanderbei, R. (1991), Uniform continuity is almost Lipschitz continuity, Technical Report SOR-91-11, Statistics and Operations Research Series, Princeton University.
    • (1991) Uniform Continuity Is Almost Lipschitz Continuity
    • Vanderbei, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.