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Volumn 3, Issue 1, 2009, Pages 7-10

A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization

Author keywords

Karush Kuhn Tucker theorem; Nonlinear programming

Indexed keywords

DIFFERENTIABILITY; ELEMENTARY PROOF; KARUSH-KUHN-TUCKER THEOREM; LINEAR EQUALITY CONSTRAINTS; LINEAR INEQUALITIES; LINEAR PROGRAMMING DUALITY; NONLINEAR INEQUALITY CONSTRAINTS; SEPARATION THEOREM;

EID: 67650474165     PISSN: 18624472     EISSN: 18624480     Source Type: Journal    
DOI: 10.1007/s11590-008-0096-3     Document Type: Article
Times cited : (12)

References (11)
  • 2
    • 49849124441 scopus 로고
    • A constructive proof of the Kuhn-Tucker multiplier rule
    • E.J. Beltrami 1969 A constructive proof of the Kuhn-Tucker multiplier rule J. Math. Anal. Appl. 26 297 306
    • (1969) J. Math. Anal. Appl. , vol.26 , pp. 297-306
    • Beltrami, E.J.1
  • 4
    • 33846318540 scopus 로고    scopus 로고
    • An elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions in nonlinear programming
    • DOI 10.1016/j.ejor.2006.04.012, PII S037722170600275X
    • S.I. Birbil J.B.G. Frenk G.J. Still 2007 An elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions in nonlinear programming Eur. J. Oper. Res. 180 479 484 (Pubitemid 46123858)
    • (2007) European Journal of Operational Research , vol.180 , Issue.1 , pp. 479-484
    • Birbil, S.I.1    Frenk, J.B.G.2    Still, G.J.3
  • 8
    • 0040862773 scopus 로고
    • The Lagrange multiplier rule
    • E.J. McShane 1973 The Lagrange multiplier rule Am. Math. Monthly 80 922 925
    • (1973) Am. Math. Monthly , vol.80 , pp. 922-925
    • McShane, E.J.1
  • 9
    • 0009145423 scopus 로고
    • Modern multiplier rules
    • B.H. Pourciau 1980 Modern multiplier rules Am. Math. Monthly 87 433 452
    • (1980) Am. Math. Monthly , vol.87 , pp. 433-452
    • Pourciau, B.H.1
  • 10
    • 0001126116 scopus 로고
    • On the development of optimization theory
    • A. Prékopa 1980 On the development of optimization theory Am. Math. Monthly 87 527 542
    • (1980) Am. Math. Monthly , vol.87 , pp. 527-542
    • Prékopa, A.1
  • 11
    • 0027606675 scopus 로고
    • Lagrange multipliers and optimality
    • R.T. Rockafellar 1993 Lagrange multipliers and optimality SIAM Rev. 35 183 238 (Pubitemid 23668291)
    • (1993) SIAM Review , vol.35 , Issue.2 , pp. 183-238
    • Tyrrell, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.