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Symmetric sign patterns with maximal inertias

In-Jae KimCharles Waters — 2010

Czechoslovak Mathematical Journal

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.

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