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 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63  \begin{thebibliography}{10} \bibitem{Box1965} M.~J. Box. \newblock A new method of constrained optimization and a comparison with other methods. \newblock {\em The Computer Journal}, pages 42--52, 1965. \bibitem{Fan2002} Ellen Fan. \newblock Global optimization of lennard-jones atomic clusters. \newblock Technical report, McMaster University, February 2002. \bibitem{Kelley1999} C.~T. Kelley. \newblock {\em Iterative Methods for Optimization}, volume~19. \newblock SIAM Frontiers in Applied Mathematics, 1999. \newblock \url{http://www.siam.org/books/textbooks/fr18_book.pdf}. \bibitem{lagarias:112} Jeffrey~C. Lagarias, James~A. Reeds, Margaret~H. Wright, and Paul~E. Wright. \newblock Convergence properties of the nelder--mead simplex method in low dimensions. \newblock {\em SIAM Journal on Optimization}, 9(1):112--147, 1998. \newblock \url{http://link.aip.org/link/?SJE/9/112/1}. \bibitem{nla.cat-vn1060620} J.~C. Nash. \newblock {\em Compact numerical methods for computers : linear algebra and function minimisation}. \newblock Hilger, Bristol, 1979. \bibitem{citeulike:3009487} J.~A. Nelder and R.~Mead. \newblock A simplex method for function minimization. \newblock {\em The Computer Journal}, 7(4):308--313, January 1965. \newblock \url{http://dx.doi.org/10.1093/comjnl/7.4.308}. \bibitem{parkinson1972} Parkinson and Hutchinson. \newblock An investigation into the efficiency of variants on the simplex method. \newblock {\em F. A. Lootsma, editor, Numerical Methods for Non-linear Optimization}, pages 115--135, 1972. \bibitem{NumericalRecipes} W.~H. Press, Saul~A. Teukolsky, William~T. Vetterling, and Brian~P. Flannery. \newblock {\em Numerical Recipes in C, Second Edition}. \newblock 1992. \bibitem{Spendley1962} W.~Spendley, G.~R. Hext, and F.~R. Himsworth. \newblock Sequential application of simplex designs in optimisation and evolutionary operation. \newblock {\em Technometrics}, 4(4):441--461, 1962. \bibitem{Torczon89multi-directionalsearch} Virginia~Joanne Torczon. \newblock Multi-directional search: A direct search algorithm for parallel machines. \newblock Technical report, Rice University, 1989. \end{thebibliography}