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Symmetric and antipersymmetric extremal rank solutions for linear matrix equations and their approximation

Tom 148 / 2017

Qingfeng Xiao, Tianxiang Feng, Zhongzhi Zhang Colloquium Mathematicum 148 (2017), 13-26 MSC: 15A29, 65F18. DOI: 10.4064/cm6557-5-2016 Opublikowany online: 27 January 2017

Streszczenie

This study establishes solvability conditions and explicit expressions of symmetric and antipersymmetric solutions of a matrix equation $AX=B$. The maximal and minimal ranks of the solutions are then derived. Finally, the matrix closest to a given matrix in the Frobenius norm is given explicitly in the minimal rank solution set of the matrix equation $AX=B$.

Autorzy

  • Qingfeng XiaoDepartment of Basic Science
    Dongguan Polytechnic
    523808 Dongguan, China
    e-mail
  • Tianxiang FengDepartment of Basic Science
    Dongguan Polytechnic
    523808 Dongguan, China
    e-mail
  • Zhongzhi ZhangDepartment of Mathematics
    Dongguan University of Technology
    523808 Dongguan, China
    e-mail

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