Symmetric sign patterns with maximal inertias

Kim, In-Jae, and Waters, Charles. "Symmetric sign patterns with maximal inertias." Czechoslovak Mathematical Journal 60.1 (2010): 101-104. <http://eudml.org/doc/37992>.

@article{Kim2010,
abstract = {The inertia of an $n$ by $n$ symmetric sign pattern is called maximal when it is not a proper subset of the inertia of another symmetric sign pattern of order $n$. In this note we classify all the maximal inertias for symmetric sign patterns of order $n$, and identify symmetric sign patterns with maximal inertias by using a rank-one perturbation.},
author = {Kim, In-Jae, Waters, Charles},
journal = {Czechoslovak Mathematical Journal},
keywords = {eigenvalue; inertia; maximal inertia; rank-one perturbation; symmetric sign pattern; eigenvalue; inertia; maximal inertia; rank-one perturbation; symmetric sign pattern},
language = {eng},
number = {1},
pages = {101-104},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Symmetric sign patterns with maximal inertias},
url = {http://eudml.org/doc/37992},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Kim, In-Jae
AU - Waters, Charles
TI - Symmetric sign patterns with maximal inertias
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 101
EP - 104
AB - The inertia of an $n$ by $n$ symmetric sign pattern is called maximal when it is not a proper subset of the inertia of another symmetric sign pattern of order $n$. In this note we classify all the maximal inertias for symmetric sign patterns of order $n$, and identify symmetric sign patterns with maximal inertias by using a rank-one perturbation.
LA - eng
KW - eigenvalue; inertia; maximal inertia; rank-one perturbation; symmetric sign pattern; eigenvalue; inertia; maximal inertia; rank-one perturbation; symmetric sign pattern
UR - http://eudml.org/doc/37992
ER -