The algorithmic efficiency of Newton-based methods for Free Flight Trajectory Optimization is heavily influenced by the size of the domain of convergence. We provide numerical evidence that the convergence radius is much larger in practice than what the theoretical worst case bounds suggest. The algorithm can be further improved by a convergence-enhancing domain decomposition.


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    Convergence Properties of Newton’s Method for Globally Optimal Free Flight Trajectory Optimization (Short Paper)


    Beteiligte:
    Borndörfer, Ralf (Autor:in) / Danecker, Fabian (Autor:in) / Weiser, Martin (Autor:in) / Frigioni, Daniele (Herausgeber:in) / Schiewe, Philine (Herausgeber:in)


    Erscheinungsdatum :

    31.08.2023


    Format / Umfang :

    6 pages , 711996 byte


    Anmerkungen:

    OASIcs, Vol. 115, 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023), pages 3:1-3:6





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch








    Convergence of Newton's Method via Lyapunov Analysis

    John Hurtado / Rush Robinett | AIAA | 2005


    Free-flight trajectory optimization by mixed integer programming

    Helmut-Schmidt-Universität/Universität der Bundeswehr Hamburg | TIBKAT | 2015

    Freier Zugriff