The filter idea and its application to the nonlinear feasibility problem

Nick Gould, Philippe Toint

    Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter


    The note presents an outline of the filter-trust-region idea applied to the nonlinear feasibility problem with special emphasis on systems of nonlinear equations. The main algorithmic ingredients are discussed, the algorithm is outlined and some motivating numerical results presented.
    Original languageEnglish
    Title of host publicationProceedings of the 20th Biennal Conference Numerical Analysis, University of Dundee, Dundee, Scotland
    EditorsD. F Griffiths, G. A Watson
    Place of PublicationNamur
    PublisherFUNDP, Faculté des Sciences. Département de Mathématique.
    Publication statusPublished - 2003

    Publication series

    NameTechnical report
    PublisherDepratment of Mathematics, University of Namur


    • systems of nonlinear equations
    • filter methods
    • trust-region methods


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