Abstract
In this paper, we first study the solution to linear matrix inequality $AXB+(AXB)^* \geqslant (\gt ,\;\leqslant,\;\lt )\;C$ when the matrix $G = (A \quad B^*)$ is full row rank, where $C$ is a Hermitian matrix. Furthermore, for the applications, we derive the representations for the Re-nnd $\{1,2,i\}$-inverses for $A$, $i=3,4$, and the Re-nnd solution to $AXB=C$, some special matrix equations are also considered.
Citation
Xifu Liu. "ON SOLUTIONS TO MATRIX INEQUALITIES WITH APPLICATIONS." Taiwanese J. Math. 19 (6) 1643 - 1659, 2015. https://doi.org/10.11650/tjm.19.2015.5621
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