On the inertia sets of some symmetric sign patterns. (English) Zbl 1164.15318

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


15A18 Eigenvalues, singular values, and eigenvectors
15B36 Matrices of integers
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