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Solutions of the matrix inequality AXA≤?A in some partial orders

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  • Wang, Hongxing
  • Liu, Xiaoji

Abstract

In this paper, we consider the matrix inequality AXA≤?A in the star, sharp and core partial orders, respectively. We get general solutions of those matrix inequalities and prove D*⊆S* and D#⊆S#, although DO#⊈SO#.

Suggested Citation

  • Wang, Hongxing & Liu, Xiaoji, 2021. "Solutions of the matrix inequality AXA≤?A in some partial orders," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    • Handle: RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308936
    DOI: 10.1016/j.amc.2020.125940
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    References listed on IDEAS

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    1. Herrero, A. & Thome, N., 2020. "Sharp partial order and linear autonomous systems," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    2. Coll, C. & Herrero, A. & Sánchez, E. & Thome, N., 2020. "On the minus partial order in control systems," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    3. Yongge Tian & Jie Wang, 2020. "Some remarks on fundamental formulas and facts in the statistical analysis of a constrained general linear model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(5), pages 1201-1216, March.
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