Volume 10, Issue 1
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Staff and Contributors
Configuration Analysis and Design by Using Optimization Tools in Mathematica
 M. S. Bazaraa, H. D. Sherali, and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, New York: Wiley, 1993.
 M. A. Bhatti, Practical Optimization Methods with Mathematica Applications, New York: Springer-Verlag, 2000.
 D. P. Bertsekas, Nonlinear Programming, 2nd ed., Cambridge, MA: Athena Scientific, 1999.
 D. Bertsimas and R. M. Freund, Data, Models, and Decisions: The Fundamentals of Management Science, Cincinnati: South-Western College Publishing, 2000.
 J.R. Birge and K.G. Murty, eds., Mathematical Programming: State of the Art 1994, Ann Arbor: The University of Michigan, 1994.
 M. W. Carter and C. C. Price, Operations Research: A Practical Introduction, Boca Raton, FL: CRC Press, 2001.
 E. K. P. Chong and S. H. Zak, An Introduction to Optimization, 2nd ed., New York: Wiley, 2001.
 G. B. Dantzig and M. N. Thapa, Linear Programming: Introduction, Vol. 1, New York: Springer-Verlag, 1997.
 D. Hertog, Interior Point Approach to Linear, Quadratic and Convex Programming, Dordrecht: Kluwer Academic Publishers, 1994.
 J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Englewood Cliffs, NJ: Prentice-Hall, 1983.
 A. V. Fiacco and G. P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, New York: Wiley, 1968.
 R. Fletcher, Practical Methods of Optimization, 2nd ed., Chichester, UK: Wiley, 1987.
 P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization, London: Academic Press, 1981.
 F. S. Hillier and G. J. Lieberman, Introduction to Operations Research, 4th ed., Oakland, CA: Holden Day, 1986.
 T. M. Liebling and D. de Werra, eds., Lectures on Mathematical Programming (ISMP97), Amsterdam: Elsevier Science, 1997.
 D. G. Luenberger, Linear and Nonlinear Programming, 2nd ed., Reading, MA: Addison-Wesley, 1984.
 K. G. Murty, Linear and Combinatorial Programming, New York: Wiley, 1976.
 S. G. Nash and A. Sofer, Linear and Nonlinear Programming, New York: McGraw-Hill, 1996.
 J. Nocedal and S. J. Wright, Numerical Optimization, New York: Springer-Verlag, 1999.
 T. Terlaky, ed., Interior Point Methods of Mathematical Programming, Dordrecht: Kluwer Academic Publishers, 1996.
 H. P. Williams, Model Building in Mathematical Programming, 4th ed., New York: Wiley, 1999.
 R. Aris, Mathematical Modeling: A Chemical Engineer's Perspective, San Diego, CA: Academic Press, 1999.
 J. L. Casti, Searching for Certainty, New York: William Morrow & Co., 1990.
 T. F. Edgar, D. M. Himmelblau, and L. S. Lasdon, Optimization of Chemical Processes, 2nd ed., New York: McGraw-Hill, 2001.
 M. Eigen and R. Winkler, Das Spiel, München: Piper & Co., 1975.
 N. A. Gershenfeld, The Nature of Mathematical Modeling, Cambridge, UK: Cambridge University Press, 1999.
 I. E. Grossmann, ed., Global Optimization in Engineering Design, Dordrecht: Kluwer Academic Publishers, 1996.
 C. Jacob, Illustrating Evolutionary Computation with Mathematica, San Francisco: Morgan Kaufmann Publishers, 2001.
 F. J. Kampas and J. D. Pintér, Advanced Optimization: Scientific, Engineering, and Economic Applications with Mathematica Examples, Amsterdam: Elsevier Science, forthcoming.
 B. B. Mandelbrot, The Fractal Geometry of Nature, New York: Freeman & Co., 1983.
 Z. Michalewicz, Genetic Algorithms + Data Structures = Evolution Programs, 3rd ed., Berlin: Springer-Verlag, 1996.
 J. D. Murray, Mathematical Biology, New York: Springer-Verlag, 1989.
 P. Y. Papalambros and D. J. Wilde, Principles of Optimal Design, 2nd ed., Cambridge, UK: Cambridge University Press, 2000.
 P. M. Pardalos and M. G. C. Resende, eds., Handbook of Applied Optimization, Oxford: Oxford University Press, 2002.
 J. D. Pintér, Global Optimization in Action: Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications, Dordrecht: Kluwer Academic Publishers, 1996.
 J. D. Pintér, Computational Global Optimization in Nonlinear Systems: An Interactive Tutorial, Atlanta: Lionheart Publishing, 2001.
 J. D. Pintér, "Global Optimization: Software, Test Problems, and Applications." Handbook of Global Optimization (P. M. Pardalos and H. E. Romeijn, eds.), Vol. 2, Dordrecht: Kluwer Academic Publishers, 2002 pp. 519-569.
 J. D. Pintér, MathOptimizer: An Advanced Modeling and Optimization System for Mathematica Users: User Guide, Halifax, NS: Pintér Consulting Services, Inc., 2002.
 J. D. Pintér and F. J. Kampas, MathOptimizer Professional: An Advanced Modeling and Optimization System for Mathematica, Using the LGO Solver Engine: User Guide, Halifax, NS: Pintér Consulting Services, Inc., 2003.
 F. Rothlauf, Representations for Genetic and Evolutionary Algorithms, Heidelberg: Physica-Verlag, 2002.
 M. Schroeder, Fractals, Chaos, Power Laws, New York: Freeman & Co., 1991.
 S. P. Sethi and G. L. Thompson, Optimal Control Theory: Applications to Management Science and Economics, 2nd ed., Dordrecht: Kluwer Academic Publishers, 2000.
 M. Tawarmalani and N. V. Sahinidis, Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming, Dordrecht: Kluwer Academic Publishers, 2002.
 S. Wolfram, A New Kind of Science, Champaign: Wolfram Media, Inc., 2002.
 L. C. W. Dixon and G. P. Szegö, eds., Towards Global Optimization, Vols. 1-2, Amsterdam: North-Holland, 1975, 1978.
 R. Horst and P. M. Pardalos, eds., Handbook of Global Optimization, Vol. 1, Dordrecht: Kluwer Academic Publishers, 1995.
 P. M. Pardalos and H. E. Romeijn, eds., Handbook of Global Optimization, Vol. 2, Dordrecht: Kluwer Academic Publishers, 2002.
 S. Wolfram, The Mathematica Book, 4th ed., Champaign: Wolfram Media, Inc., 1999.
 Mathematica, Release Version 4.2, Champaign: Wolfram Research, Inc., 2002.
 Mathematica, Release Version 5.0, Champaign: Wolfram Research, Inc., 2003.
 J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, 2nd ed., Berlin: Springer-Verlag, 1988.
 B. Hartke, "Global Cluster Geometry Optimization by a Phenotype Algorithm with Niches: Location of Elusive Minima, and Low-order Scaling with Cluster Size," Journal of Computational Chemistry, 20, 1999 pp. 1752-1759.
 H. Melissen, "Packing and Covering with Circles," Ph.D. diss., The Netherlands: University of Utrecht, 1997.
 A. Neumaier, "Molecular Modeling of Proteins and Mathematical Prediction of Protein Structure," SIAM Review, 39, 1997 pp. 407-460.
 R. H. Pain, ed., Mechanisms of Protein Folding, Oxford, UK: Oxford University Press, 1994.
 P. M. Pardalos, D. Shalloway, and G. Xue, Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding, DIMACS Series, Vol. 23, Providence: American Mathematical Society, 1996.
 E. B. Saff and A. B. J. Kuijlaars, "Distributing Many Points on a Sphere," The Mathematical Intelligencer, 19, 1997 pp. 5-11.
 S. Smale, "Mathematical Problems for the Next Century," The Mathematical Intelligencer, 20, 1998 pp. 7-15.
 D. J. Wales and H. A. Scheraga, "Global Optimization of Clusters, Crystals, and Biomolecules," Science, 285, 1999 pp. 1368-1372.
 J. D. Pintér, "Extremal Energy Models and Global Optimization," Computing Tools for Modeling, Optimization and Simulation (M. Laguna and J. L. González-Velarde, eds.), Dordrecht: Kluwer Academic Publishers, 2000 pp. 145-160.
 J. D. Pintér, "Globally Optimized Spherical Point Arrangements: Model Variants and Illustrative Results," Annals of Operations Research, 104, 2001 pp. 201-213.
 W. J. H. Stortelder, J. J. B. de Swart, and J. D. Pintér, "Finding Elliptic Fekete Point Sets: Two Numerical Solution Approaches," Journal of Computational and Applied Mathematics, 130, 2001 pp. 205-216.
 Frontline Systems and Pintér Consulting Services, Inc., Premium Solver Platform Solver Engines User Guide: LGO Global Solver, Incline Village, NV: Frontline Systems, 2001 www.solver.com/xlslgoeng.htm.
 GAMS Development Corporation and Pintér Consulting Services, Inc., GAMS/LGO Solver Engine, Washington, DC: GAMS Development Corporation, 2003 www.gams.com/dd/docs/solvers/lgo.pdf.
 J. D. Pintér, "GAMS/LGO Nonlinear Solver Suite: Key Features, Usage, and Numerical Performance," (Submitted for publication.) www.gams.com/solvers/solvers.htm#LGO.
 J. D. Pintér and F. J. Kampas, "Nonlinear Optimization in Mathematica with MathOptimizer Professional," Mathematica in Education and Research, 10(2), 2005 pp. 1-18.
 J. D. Pintér and C. J. Purcell, "Optimization of Finite Element Models with MathOptimizer and ModelMaker," Presented at the Mathematica Developers Conference (Champaign, IL, April 10-12, 2003).
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