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
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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.
@article{ZNSL_2013_419_a7,
author = {L. Yu. Kolotilina},
title = {Some inequalities connecting the singular values of a~complex matrix with the {Perron} roots of related nonnegative matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {121--138},
publisher = {mathdoc},
volume = {419},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a7/}
}
TY - JOUR AU - L. Yu. Kolotilina TI - Some inequalities connecting the singular values of a~complex matrix with the Perron roots of related nonnegative matrices JO - Zapiski Nauchnykh Seminarov POMI PY - 2013 SP - 121 EP - 138 VL - 419 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a7/ LA - ru ID - ZNSL_2013_419_a7 ER -
%0 Journal Article %A L. Yu. Kolotilina %T Some inequalities connecting the singular values of a~complex matrix with the Perron roots of related nonnegative matrices %J Zapiski Nauchnykh Seminarov POMI %D 2013 %P 121-138 %V 419 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a7/ %G ru %F ZNSL_2013_419_a7
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/