Abstract
The goal in optimization problems is to find the minimum or maximum of a cost function f(x 1, ..., x n ) that depends on n variables x 1,...,x n . This chapter develops the necessary and sufficient conditions for a set of variables, x 1,...,x n , to be a minimum (or maximum) of the cost function.
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References
Arora, J. S., Introduction to Optimum Design, McGraw-Hill, 1989.
Fiacco, A. V. and McCormick G. P., Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, 1968.
Fletcher, R., Practical Methods of Optimization, John Wiley & Sons, 1987.
Gill, P. E., Murray, W., and Wright, M., Practical Optimization, Academic Press, London, 1981.
Golub, G. H. and van Loan, C. F., Matrix Computation, John Hopkins, 2nd edition, 1989.
Noble, B. and Daniel, J. W., Applied Linear Algebra, Prentice Hall, 2nd edition, 1977.
Oakley, C. O.. Calculus: A Modern Approach, Barnes & Noble Books, 1971.
Reklaitis, G. V., Ravindran, A. and Ragsdell, K. M., Engineering Optimization: Methods and Applications, John Wiley & Sons, 1983.
Strang, G., Linear Algebra and its Applications, Harcourt Brace Jovanovich, 3rd edition, 1988.
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© 1999 Springer Science+Business Media Dordrecht
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Agrawal, S.K., Fabien, B.C. (1999). Static Optimization. In: Optimization of Dynamic Systems. Solid Mechanics and Its Applications, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9149-2_1
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DOI: https://doi.org/10.1007/978-94-015-9149-2_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5205-6
Online ISBN: 978-94-015-9149-2
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