## 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.

### MSC:

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

### Keywords:

inertia; sign pattern matrix; tridiagonal matrix
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### References:

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