How mature is nonlinear optimization?

Nick Gould, Philippe Toint

    Research output: Contribution in Book/Catalog/Report/Conference proceedingCatalog chapter contribution

    Abstract

    Numerical methods for solving nonlinear optimization problems have been developed for over 50 years. Has this field reached maturity? What are the current research frontiers and ongoing challenges? These are questions that this paper attempts to clarify, if not fully answer. The discussion does not explore the technical intricacies of nonlinear optimization techniques, but instead focusses on concepts and research practice. The field's vibrant nature is illustrated by a number of applications, such as adaptive lens design for spectacles, the piloting of injection of dangerous drugs to patients, the identification of parameters in biochemical models of neurons, food sterilisation or animation techniques for video games.
    Original languageEnglish
    Title of host publicationApplied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress
    Subtitle of host publicationInvited Talks from the ICIAM 2003 Congress
    EditorsJ Hall, R Moore
    Place of PublicationPhiladelphia, USA
    PublisherSIAM
    Pages141-161
    Number of pages21
    Publication statusPublished - 1 Jan 2004

    Keywords

    • applications
    • Nonlinear optimization

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