Geodesic
Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 166-181

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Two-sided bounds on $|\det A|$ for Nekrasov and $S$-Nekrasov matriсes $A$ are obtained. It is shown that for Nekrasov matrices the new bounds improve the known bounds of Bailey and Crabtree. As to the $S$-Nekrasov matrices, introduced only recently, so far no bounds on their determinants have been suggested, as far as the author is aware. 
@article{ZNSL_2014_428_a11,
     author = {L. Yu. Kolotilina},
     title = {Bounds for the determinants of {Nekrasov} and $S${-Nekrasov} matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {166--181},
     publisher = {mathdoc},
     volume = {428},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a11/}
}
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L. Yu. Kolotilina. Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 166-181. http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a11/