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The Tangent Method

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Part of the book series: Mathematics and Its Applications ((MASS,volume 2))

Abstract

The present chapter contains a general approach to the construction of algorithms for optimum problems, both static and dynamic. The reader will certainly notice a resemblance to the classical Newton method (tangent method), but there is an essential difference: we are looking for constrained extrema of functions or functionals by means of solving unconstrained problems. The functions involved are well-known mathematical objects and they play an important role in dynamic programming [21]. Again we shall pay a lot of attention to significant mechanical analogies.

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© 1984 D. Reidel Publishing Company

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Razumikhin, B.S. (1984). The Tangent Method. In: Physical Models and Equilibrium Methods in Programming and Economics. Mathematics and Its Applications, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6274-3_10

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  • DOI: https://doi.org/10.1007/978-94-009-6274-3_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6276-7

  • Online ISBN: 978-94-009-6274-3

  • eBook Packages: Springer Book Archive

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