Geodesic
On the full rank interval matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 3, pp. 289-304

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For interval matrices, the paper considers the problem of determining whether a matrix has a full rank. We propose the full rank criterion that relies on the search for diagonal dominance as well as criteria based on pseudoinversion of the midpoint matrix and comparison of the midpoint and the radius matrices for the interval matrix under study. 
@article{SJVM_2014_17_3_a5,
     author = {S. P. Shary},
     title = {On the full rank interval matrices},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {289--304},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2014_17_3_a5/}
}
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S. P. Shary. On the full rank interval matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 3, pp. 289-304. http://geodesic.mathdoc.fr/item/SJVM_2014_17_3_a5/