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The Hermitian solution of AXA*=B subject to CXC* ≥ D

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  • Liu, Xifu

Abstract

In this paper, we first establish some necessary and sufficient conditions for the existence of Hermitian solution of AXA*=B subject to CXC* ≥ D, where B and D are Hermitian matrices. Furthermore, a general expression for this Hermitian constrained solution is derived, several special cases are also considered.

Suggested Citation

  • Liu, Xifu, 2015. "The Hermitian solution of AXA*=B subject to CXC* ≥ D," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 890-898.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:890-898
    DOI: 10.1016/j.amc.2015.08.102
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    References listed on IDEAS

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    1. Zhang, Xian, 2005. "The general common Hermitian nonnegative-definite solution to the matrix equations AXA*=BB* and CXC*=DD* with applications in statistics," Journal of Multivariate Analysis, Elsevier, vol. 93(2), pages 257-266, April.
    2. Yonghui Liu & Yongge Tian, 2011. "Max-Min Problems on the Ranks and Inertias of the Matrix Expressions A−BXC±(BXC)∗ with Applications," Journal of Optimization Theory and Applications, Springer, vol. 148(3), pages 593-622, March.
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