Geodesic
Bounds for the singular values of a matrix involving its sparsity pattern
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVIII, Tome 323 (2005), pp. 57-68 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper presents new upper and lower bounds for the singular values of a rectangular matrix explicitly involving the matrix sparsity pattern. These bounds are based on an upper bound for the Perron root of a nonnegative matrix and on the sparsity-dependent version of the Ostrowski–Brauer theorem on eigenvalue inclusion regions. 
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     author = {L. Yu. Kolotilina},
     title = {Bounds for the singular values of a~matrix involving its sparsity pattern},
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L. Yu. Kolotilina. Bounds for the singular values of a matrix involving its sparsity pattern. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVIII, Tome 323 (2005), pp. 57-68. http://geodesic.mathdoc.fr/item/ZNSL_2005_323_a6/

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