Assume $A$ and $B$ are two non-singular m-matrices. Are there any theorems that would help me make conclusions about element-wise ordering of $A^{-1}$ and $B^{-1}$? For example, if I know $A \geq B$, where "$\geq$" indicates $a_{ij} \geq b_{ij}$, can I make any conclusions about the element-wise ordering of $A^{-1}$ and $B^{-1}$?
2026-03-25 06:33:13.1774420393
Ordering of m-matrix inverse
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