A characterization of trace zero symmetric nonnegative 5x5 matrices

Abstract

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.

arXiv commentRevised structure, fixed typos, added more details in some proofs, added figures

Cited by in corpus (4)

• Symmetric Nonnegative 5x5 Matrices Realizing Previously Unknown Region
• A characterization of trace zero bisymmetric nonnegative $5\times 5$ matrices
• A Necessary Condition for the Spectrum of Nonnegative Symmetric $5\times 5$ Matrices
• On the maximum angle between copositive matrices