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On tropical matrices of small factor rank

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Publication:1758472
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DOI10.1016/j.laa.2012.06.034zbMath1257.15002OpenAlexW1987926532MaRDI QIDQ1758472

Yaroslav N. Shitov

Publication date: 9 November 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.06.034


zbMATH Keywords

linear time algorithmtropical semiringfactor ranktropical matrixBarvinok rank


Mathematics Subject Classification ID

Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03) Max-plus and related algebras (15A80)


Related Items (1)

Detecting matrices of combinatorial rank three



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Nonnegative ranks, decompositions, and factorizations of nonnegative matrices
  • The topology of the space of matrices of Barvinok rank two
  • Semiring rank versus column rank
  • The moduli space of \(n\) tropically collinear points in \(\mathbb R^d\)
  • Linear independence over tropical semirings and beyond


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