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    Parametric solutions to Sylvester conjugate matrix equations

    Access Status
    Open access via publisher
    Authors
    Wu, A.
    Lv, L.
    Duan, G.
    Liu, Wan-quan
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Wu, Ai-guo and Lv, Lingling and Duan, Guang-Ren and Liu, Wanquan. 2011. Parametric solutions to Sylvester-conjugate matrix equations. Computers and Mathematics with Applications. 62 (9): pp. 3317–3325.
    Source Title
    Computers and Mathematics with Applications
    DOI
    10.1016/j.camwa.2011.08.034
    ISSN
    0898-1221
    School
    Department of Computing
    URI
    http://hdl.handle.net/20.500.11937/9125
    Collection
    • Curtin Research Publications
    Abstract

    By two recently proposed operations with respect to complex matrices, a simple explicit solution to the Sylvester-conjugate matrix equation is given in a finite series form. The obtained solution can also be equivalently expressed in terms of the so-calledcontrollability-like matrix and observability-like matrix. The proposed solution can provide all the degrees of freedom which is represented by a free parameter matrix. An illustrative example is employed to show the effectiveness of the proposed method.

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