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Solving General Linear Differential Equations with Constant Coefficients: An Application to Constrained Optimization

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Applications of Continuous Mathematics to Computer Science

Part of the book series: Theory and Decision Library ((TDLB,volume 38))

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Abstract

In Lesson 5, we started to show how continuous mathematics can help in algorithm design. In particular, we showed that the problem of finding the best penalty function leads to a linear differential equation. Since other algorithm design problems lead to similar differential equations, we need a general method for solving such differential equations. Such a method is described in this lesson.

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© 1997 Springer Science+Business Media Dordrecht

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Nguyen, H.T., Kreinovich, V. (1997). Solving General Linear Differential Equations with Constant Coefficients: An Application to Constrained Optimization. In: Applications of Continuous Mathematics to Computer Science. Theory and Decision Library, vol 38. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0743-5_6

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  • DOI: https://doi.org/10.1007/978-94-017-0743-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4901-8

  • Online ISBN: 978-94-017-0743-5

  • eBook Packages: Springer Book Archive

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