Geodesic
On bounding inverses to Nekrasov matrices in the infinity norm
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 111-120 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new upper bound on the infinity norm of the inverse to a Nekrasov matrix, improving two recent bounds by L. Cvetković et al. [L. Cvetković, P.-F. Dai, K. Doroslovac̆ki, and Y.-T. Li, Infinity norm bounds for the inverse of Nekrasov matrices, Appl. Math. Comput., 219, 5020–5024 (2013)], is obtained. Also it is shown that for a strictly diagonally dominant matrix, the bound suggested improves the classical Varah upper bound. 
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     title = {On bounding inverses to {Nekrasov} matrices in the infinity norm},
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L. Yu. Kolotilina. On bounding inverses to Nekrasov matrices in the infinity norm. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 111-120. http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a6/

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