Geodesic
Some characterizations of Nekrasov and $S$-Nekrasov matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 152-165 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is known that the Nekrasov and $S$-Nekrasov matrices form subclasses of (nonsingular) $H$-matrices. The paper presents some necessary and sufficient conditions for a square matrix with complex entries to be a Nekrasov and an $S$-Nekrasov matrix. In particular, characterizations of the Nekrasov and $S$-Nekrasov matrices in terms of the diagonal column scaling matrices transforming them into strictly diagonally dominant matrices are obtained. 
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     author = {L. Yu. Kolotilina},
     title = {Some characterizations of {Nekrasov} and $S${-Nekrasov} matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a10/}
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L. Yu. Kolotilina. Some characterizations of Nekrasov and $S$-Nekrasov matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 152-165. http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a10/

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