Abstract
If A and B are inverse M-matrices, we show that the interval determined by A and B contains only inverse M-matrices if and only if all vertices of the interval are inverse M. Limitations on strengthening such a statement are exhibited by example, and generalizations to classes of matrices defined by identically signed collections of minors are mentioned.
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Johnson, C.R., Smith, R.L. Intervals of Inverse M-Matrices. Reliable Computing 8, 239–243 (2002). https://doi.org/10.1023/A:1015517430475
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DOI: https://doi.org/10.1023/A:1015517430475