Geodesic
Some inequalities connecting the singular values of a complex matrix with the Perron roots of related nonnegative matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 121-138 
L. Yu. Kolotilina. Some inequalities connecting the singular values of a complex matrix with the Perron roots of related nonnegative matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 121-138. http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a7/
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     title = {Some inequalities connecting the singular values of a~complex matrix with the {Perron} roots of related nonnegative matrices},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a7/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In the paper, some inequalities interrelating the singular values of a square matrix $A$ with complex entries with the Perron roots of the associated nonnegative matrices $P_A=|A|\circ|A|$ and $(P_A+P_A^T)/2$ are derived. The results obtained are applied to $(0,1)$-matrices.

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