Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters



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Ivorra, Benjamin and Mohammadi, Bijan and Dumas, Laurent and Durand, Olivier (2006) Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters. In Numerical Mathematics and Advanced Applications. Springer, Berlín, pp. 1007-1014. ISBN 978-3-540-34287-8

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In this paper, we reformulate global optimization problems in terms of boundary value problems. This allows us to introduce a new class of optimization algorithms. Indeed, many optimization methods, including non-deterministic ones, can be seen as discretizations of initial value problems for differential equations or systems of differential equations. Two algorithms included in this new class are applied and compared with a genetic algorithm for the design of multichannel optical filters.

Item Type:Book Section
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Proceedings of ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications Santiago de Compostela, Spain, July 2005

Subjects:Sciences > Mathematics > Differential equations
Sciences > Mathematics > Operations research
ID Code:29627
Deposited On:17 Apr 2015 07:57
Last Modified:12 Dec 2018 15:07

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