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Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • Benjamin Ivorra & Bijan Mohammadi & Laurent Dumas & Olivier Durand, 2006. "Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 1007-1014, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_100
    DOI: 10.1007/978-3-540-34288-5_100
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