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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
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    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.

    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

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