A characterization of trace zero symmetric nonnegative 5x5 matrices

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Spector, Oren
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Abstract
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The problem of determining necessary and sufficient conditions for a set of real numbers to be the eigenvalues of a symmetric nonnegative matrix is called the symmetric nonnegative inverse eigenvalue problem (SNIEP). In this paper we solve SNIEP in the case of trace zero symmetric nonnegative 5x5 matrices.
Comment: Revised structure, fixed typos, added more details in some proofs, added figures
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Mathematics - Rings and Algebras, 15A48, 15A29
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