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Nonnegative group-monotone matrices and the minus partial order

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Publication:958003
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DOI10.1016/j.laa.2008.07.011zbMath1153.15313OpenAlexW2094535835MaRDI QIDQ958003

Brian Blackwood, Surender Kumar Jain

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.011


zbMATH Keywords

nonnegative matricespartial ordersMatrix decompositions


Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)


Related Items (2)

The star partial order and the eigenprojection at 0 on EP matrices ⋮ Ordered matrices with nonnegative group projector



Cites Work

  • Matrix partial orders through generalized inverses: Unified theory
  • On parallel summability of matrices
  • Nonnegative idempotent matrices and the minus partial order
  • Nonnegative matrices \(A\) with \(AA^\#\geqslant 0\).
  • An algorithm to check the nonnegativity of singular systems
  • Decomposition of Nonnegative Group-Monotone Matrices
  • The natural partial order on a regular semigroup
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