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    The largest eigenvalue of nonnegative tensors

    199186_Ibrahim 2014.pdf (377.3Kb)
    Access Status
    Open access
    Authors
    Ibrahim, Nur Fadhilah
    Date
    2013
    Supervisor
    Prof. Guanglu Zhou
    Prof.Yong Hong Wu
    Type
    Thesis
    Award
    PhD
    
    Metadata
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    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/2007
    Collection
    • Curtin Theses
    Abstract

    In this thesis we study the methods for finding the largest eigenvalue of tensors. In particular, we study the convergence of the methods and show that the method for rectangular tensors is Q-linear convergence under weak irreducibility condition. We further generalise the method to nonnegative polynomial eigenvalue problems. We prove that this method is convergent for nonhomogeneous irreducible nonnegative polynomials. Then, we apply this method to solve nonnegative polynomial optimization problems with spherical constraints.

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