Abstract
As most likely readers may have realized, it is not at all reasonable to pretend to find solutions for optimization problems, especially if they reflect a real situation, by hand.
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References
N. Andrei, Nonlinear Optimization Applications using the GAMS Technology, Springer Optimization and Its Applications, vol. 81 (Springer, New York, 2013)
R.K. Arora, Optimization: Algorithms and Applications (CRC Press, Boca Raton, FL, 2015)
P. Bangert, Optimization for Industrial Problems (Springer, Heidelberg, 2012)
A. Beck, Introduction to Nonlinear Optimization. Theory, Algorithms, and Applications with MATLAB, MOS-SIAM Series on Optimization. Society for Industrial and Applied Mathematics (SIAM), Mathematical Optimization Society, vol. 19 (Philadelphia, PA, 2014)
M.A. Bhatti, Practical Optimization Methods with Mathematica Applications (Springer, New York, 2000)
M. Bierlaire, Optimization: Principles and Algorithms (EPFL Press, Lausanne; distributed by CRC Press, Boca Raton, FL, 2015)
E.G. Birgin, J.M. Martnez, Practical Augmented Lagrangian Methods for Constrained Optimization, Fundamentals of Algorithms. Society for Industrial and Applied Mathematics (SIAM), vol. 10 (Philadelphia, PA, 2014)
S. Butenko, P.M. Pardalos, Numerical Methods and Optimization. An Introduction, By Chapman and Hall edn., CRC Numerical Analysis and Scientific Computing Series (CRC Press, Boca Raton, 2014)
Ch.L. Byrne, A First Course in Optimization (CRC Press, Boca Raton, FL, 2015)
E. Castillo, A. Conejo, P. Pedregal, R. GarcÃa, N. Alguacil, Building and Solving Mathematical Programming Models in Engineering and Science, Pure and Applied Mathematics (Wiley, New York, 2002)
P.W. Christensen, A. Klarbring, An Introduction to Structural Optimization, Solid Mechanics and its Applications, vol. 153 (Springer, New York, 2009)
A. Dhara, J. Dutta, Optimality Conditions in Convex Optimization. A Finite-dimensional View, with a foreword by Stephan Dempe (CRC Press, Boca Raton, FL, 2012)
Decision tree for optimization software: http://plato.asu.edu/guide.html
U. Faigle, W. Kern, G. Still, Algorithmic Principles of Mathematical Programming, Kluwer Texts in the Mathematical Sciences, vol. 24 (Kluwer Academic Publishers, Dordrecht, 2002)
A.V. Fiacco, G.P. McCormick, Nonlinear Programming. Sequential Unconstrained Minimization Techniques, SIAM Classics in Applied Mathematics, vol. 4 (Philadelphia)
J.B. Hiriart-Urruty, C. Lemarchal, Convex Analysis and Minimization Algorithms. I. Fundamentals, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 305 (Springer-Verlag, Berlin, 1993)
W. Hock, K. Schittkowski, Test Examples for Nonlinear Programming Codes, Lecture Notes in Economics and Mathematical Systems, vol. 187 (Springer, Berlin, 1981)
J.B. Laserre, Moments, Positive Polynomials and Their Applications, vol. 1 (Imperial College Press Optimization Series, London, 2010)
I. Maros, Computational Techniques of the Simplex Method, with a foreword by András Prékopa. International Series in Operations Research and Management Science, vol. 61 (Kluwer Academic Publishers, Boston, 2003)
P.B. Morgan, An Explanation of Constrained Optimization for Economists (University of Toronto Press, Toronto, ON, 2015)
J. Nocedal, S.J. Wright, Numerical Optimization, Springer Series in Operations Research and Financial Engineering (Springer, Berlin, 1999)
P. Pedregal, Introduction to Optimization, Texts Appl. Math., vol. 46 (Springer, 2003)
G. Sierksma, Y. Zwols, Linear and Integer Optimization. Theory and Practice, 3rd edn. Advances in Applied Mathematics (CRC Press, Boca Raton, FL, 2015)
S.A-H. Soliman, A-A.H. Mantawy, Modern Optimization Techniques with Applications in Electric Power Systems, Energy Systems (Springer, New York, 2012)
A. Schrijver, Theory of Linear and Integer Programming (Wiley, New York, 1999)
A. Takayama, Mathematical Economics, 2nd edn. (Cambridge University Press, 1985)
B. Vitoriano, Programación matemática: Modelos de optimización (in spanish), personal manuscript, U. Complutense (2010)
H.P. Williams, Model Building in Mathematical Programming, 5th edn. (John Wiley and Sons, Chichester, 2013)
A.J. Zaslavski, Numerical Optimization with Computational Errors, Springer Optimization and Its Applications, vol. 108 (Springer, [Cham], 2016)
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Pedregal, P. (2017). Numerical Approximation. In: Optimization and Approximation. UNITEXT(), vol 108. Springer, Cham. https://doi.org/10.1007/978-3-319-64843-9_4
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