Geodesic
Nekrasov type matrices and upper bounds for their inverses
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 169-183 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper considers the so-called $P$-Nekrasov and $\{P_1, P_2\}$-Nekrasov matrices, defined in terms of permutation matrices $P, P_1, P_2$, which generalize the well-known notion of Nekrasov matrices. For such matrices $A$, available upper bounds on $\|A^{-1}\|_\infty$ are recalled, and new upper bounds for the $P$-Nekrasov and $\{P_1, P_2\}$-Nekrasov matrices are suggested. It is shown that the latter bound generally improves the earlier bounds, as well as the bound for the inverse of a $P$-Nekrasov matrix and the classical bound for the inverse of a strictly diagonally dominant matrix. 
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     title = {Nekrasov type matrices and upper bounds for their inverses},
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L. Yu. Kolotilina. Nekrasov type matrices and upper bounds for their inverses. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 169-183. http://geodesic.mathdoc.fr/item/ZNSL_2019_482_a11/

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