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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
    
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    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.

    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

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