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    Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors

    Access Status
    Fulltext not available
    Authors
    Wang, G.
    Zhou, Guanglu
    Caccetta, L.
    Date
    2018
    Type
    Journal Article
    
    Metadata
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    Citation
    Wang, G. and Zhou, G. and Caccetta, L. 2018. Sharp Brauer-Type Eigenvalue Inclusion Theorems for Tensors. Pacific Journal of Optimization. 14 (2): pp. 227-244.
    Source Title
    Pacific Journal of Optimization
    Additional URLs
    http://www.ybook.co.jp/online2/pjov14-2.html
    ISSN
    1348-9151
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/73142
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, some new Brauer-type eigenvalue inclusion theroems are established for general tenors. We show that new eigenvalue inclusion sets are sharper than classical results. As applications obtain bounds for the largest eigenvalue of a nonnegative tensor, which achieve tighter bounds than existing bounds. Furthermore, based on these eigenvalue inclusion theorems, we present several sufficient conditions to test positive definiteness and positive semi-definiteness of tensors.

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