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    Z-Eigenvalue inclusion theorems for tensors

    249609.pdf (142.3Kb)
    Access Status
    Open access
    Authors
    Wang, G.
    Zhou, Guanglu
    Caccetta, L.
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wang, G. and Zhou, G. and Caccetta, L. 2017. Z-Eigenvalue inclusion theorems for tensors. Discrete and Continuous Dynamical Systems B. 22 (1): pp. 187-198.
    Source Title
    Discrete and Continuous Dynamical Systems B
    DOI
    10.3934/dcdsb.2017009
    ISSN
    1531-3492
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/49854
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we establish Z-eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between Z-eigenvalues and H-eigenvalues. As an application, we obtain upper bounds for the largest Z-eigenvalue of a weakly symmetric nonnegative tensor, which are sharper than existing upper bounds.

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