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Section B

On the global minimization of increasing positively homogeneous functions over the unit simplex

, &
Pages 2733-2746 | Received 07 Jan 2008, Accepted 09 Jan 2009, Published online: 17 Jun 2010

References

  • Adilov , G. , Tınaztepe , G. and Kemali , S. On the Solution of an Optimization Problem Expressed via Increasing Positively Homogeneous Functions . Proceedings of the 16th Jangjeon Mathematical Society . July 4–6 . pp. 1 – 6 .
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  • Bagirov , A. and Rubinov , A. M. 2001 . “ Modified versions of the cutting angle method ” . In Nonconvex Optimization and Its Applications , Edited by: Hadjisavvas , N. and Pardalos , P. M. Vol. 54 , 245 – 268 . Dordrecht : Kluwer Publishers . Advances in Convex Analysis and Global Optimization
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  • Rubinov , A. M. and Andramonov , M. 1999 . Lipschitz programming via convex-along-rays functions . Optim. Methods Softw. , 10 : 763 – 781 .
  • M.Yu. Andromonov, A.M. Rubinov, and B.M. Glover, Cutting angle method for minimizing increasing convex-along-rays functions, Research Report 97/7, SITMS, University of Ballarat, Ballarat, 1997
  • Andromonov , M. Yu. , Rubinov , A. M. and Glover , B. M. 1999 . Cutting Angle Methods in Global Optimization . Appl. Math. Lett. , 12 : 95 – 100 .

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