Symmetric sign patterns with maximal inertias

In-Jae Kim; Charles Waters

Displaying similar documents to “Symmetric sign patterns with maximal inertias”

The inertia set of nonnegative symmetric sign pattern with zero diagonal

Yubin Gao, Yan Ling Shao (2003)

Czechoslovak Mathematical Journal

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The inertia set of a symmetric sign pattern $A$ is the set $i (A) = {i (B) ∣ B = B^{T} \in Q (A)}$ , where $i (B)$ denotes the inertia of real symmetric matrix $B$ , and $Q (A)$ denotes the sign pattern class of $A$ . In this paper, a complete characterization on the inertia set of the nonnegative symmetric sign pattern $A$ in which each diagonal entry is zero and all off-diagonal entries are positive is obtained. Further, we also consider the bound for the numbers of nonzero entries in the nonnegative symmetric sign patterns $A$ with zero diagonal...

On the inertia sets of some symmetric sign patterns

C. M. da Fonseca (2006)

Czechoslovak Mathematical Journal

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A matrix whose entries consist of elements from the set ${+, -, 0}$ is a sign pattern matrix. Using a linear algebra theoretical approach we generalize of some recent results due to Hall, Li and others involving the inertia of symmetric tridiagonal sign matrices.