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Nonnegative rank of a matrix with one negative eigenvalue

Combinatorics 2013-08-23 v1

Abstract

We show that a rank-three symmetric matrix with exactly one negative eigenvalue can have arbitrarily large nonnegative rank.

Keywords

Cite

@article{arxiv.1308.4716,
  title  = {Nonnegative rank of a matrix with one negative eigenvalue},
  author = {Yaroslav Shitov},
  journal= {arXiv preprint arXiv:1308.4716},
  year   = {2013}
}

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R2 v1 2026-06-22T01:13:04.134Z