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    Nonsingular H-tensor and its criteria

    Access Status
    Open access via publisher
    Authors
    Wang, Y.
    Zhou, Guanglu
    Caccetta, Louis
    Date
    2016
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wang, Y. and Zhou, G. and Caccetta, L. 2016. Nonsingular H-tensor and its criteria. Journal of Industrial and Management Optimization. 12 (4): pp. 1173-1186.
    Source Title
    Journal of Industrial and Management Optimization
    DOI
    10.3934/jimo.2016.12.1173
    ISSN
    1547-5816
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/40382
    Collection
    • Curtin Research Publications
    Abstract

    H-tensor is a new developed concept in tensor analysis and it is an extension of H-matrix and M-tensor. Based on the spectral theory of nonnegative tensors, several equivalent conditions of nonsingular H-tensors are established in the literature. However, these conditions can not be used as a criteria to identify nonsingular H-tensors as they are hard to verify. In this paper, based on the diagonal product dominance and S diagonal product dominance of a tensor, we establish some new implementable criteria in identifying nonsingular H-tensors. The positive definiteness of nonsingular H-tensors with positive diagonal entries is also discussed in this paper. The obtained results extend the corresponding conclusions for nonsingular H-matrices and improve the existing results for nonsingular H-tensors.

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