English

A characterization of trace zero symmetric nonnegative 5x5 matrices

Rings and Algebras 2014-03-25 v2

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.

Keywords

Cite

@article{arxiv.0903.5519,
  title  = {A characterization of trace zero symmetric nonnegative 5x5 matrices},
  author = {Oren Spector},
  journal= {arXiv preprint arXiv:0903.5519},
  year   = {2014}
}

Comments

Revised structure, fixed typos, added more details in some proofs, added figures