Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters

Benjamin Ivorra (), Bijan Mohammadi, Laurent Dumas and Olivier Durand
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Benjamin Ivorra: I3M, University of Montpellier 2
Bijan Mohammadi: I3M, University of Montpellier 2
Laurent Dumas: University of Paris 6, Jacques-Louis Lions Laboratory
Olivier Durand: Alcatel Research and Innovation

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1007-1014 from Springer

Abstract: Abstract 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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_100

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DOI: 10.1007/978-3-540-34288-5_100

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