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    Singular values of a real rectangular tensor

    154987_154987.pdf (205.4Kb)
    Access Status
    Open access
    Authors
    Chang, K.
    Qi, L.
    Zhou, Guanglu
    Date
    2010
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Chang, Kungching and Qi, Liqun and Zhou, Guanglu. 2010. Singular values of a real rectangular tensor. Journal of Mathematical Analysis and Applications. 370 (1): pp. 284-294.
    Source Title
    Journal of Mathematical Analysis and Applications
    DOI
    10.1016/j.jmaa.2010.04.037
    ISSN
    0022247X
    School
    Department of Mathematics and Statistics
    Remarks

    NOTICE: This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications [370, 1, 2010] DOI 10.1016/j.jmaa.2010.04.037

    URI
    http://hdl.handle.net/20.500.11937/27506
    Collection
    • Curtin Research Publications
    Abstract

    Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value of a nonnegative rectangular tensor. Numerical results show that the algorithm is efficient.

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