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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 46, 1999 - Issue 4
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Original Articles

Extended Lagrange And Penalty Functions in Continuous OptimizationFootnote*

A.M. Rubinov School of Information Technology and Mathematical Sciences, University of Ballarat, Victoria, 3353, Australia
,
B.M. Glover School of Mathematics and Statistics, Curtin University of Technology, Perth, WA, 6845, Australia
&
X.Q. Yang Department of Mathematics, The University of Western Australia, WA, Nedlands, 6907, Australia
Pages 327-351 | Published online: 20 Mar 2007

References

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  • Goh , C.J. and Yang , X.Q. 1996 . “ A nonlinear Lagrangian theory for nonconvexoptimization problems, Preprint, the University ofWestern Australia ” . Australia
  • Grossman , Ch. and Kaplan , A. 1979 . “ Teubner Texte zur Mathematik ” . In Strajiunktionen und Modgzierte Lagrange-funktionen in der Nichtlinearen Optimierund Leipzing
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  • Rubinov A.M. Glover B.M. Increasing convex-along-rays functions with applications to global minimization SITMS, Univer-sity of Ballarat 1996 Research Report 21/96
  • Glover , B.M. 1998 . Duality for increasing positively ho-mogeneous functions and normal sets . RAIRO Operations Research , 32 : 105 – 123 .
  • Rubinov A. M. Glover B. M. Yang X. Q.. Decreasing functions withapplications to penalization SIAM Journal Optimization to appear
  • Thach , R.T. 1993 . Global optimality criterion and a duality with zero gap in nonconvex optimization . SIAM J.Math.Ana , 24 : 1537 – 1556 .
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