Geodesic
Symmetric sign patterns with maximal inertias
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 101-104 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 15A18, 15B35
Keywords: eigenvalue; inertia; maximal inertia; rank-one perturbation; symmetric sign pattern 
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Kim, In-Jae; Waters, Charles. Symmetric sign patterns with maximal inertias. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 101-104. http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a7/

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