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Notes on completely positive matrices

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Publication:1379097
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DOI10.1016/S0024-3795(97)00278-4zbMath0889.15018MaRDI QIDQ1379097

Shuhuang Xiang, Shu-wen Xiang

Publication date: 22 June 1998

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


zbMATH Keywords

completely positive matrixcp-rankinverse M-matricesirreducible H-matrixreducible H-matrices


Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Vector spaces, linear dependence, rank, lineability (15A03)


Related Items (2)

Exploiting ideal-sparsity in the generalized moment problem with application to matrix factorization ranks ⋮ Think co(mpletely)positive! Matrix properties, examples and a clustered bibliography on copositive optimization



Cites Work

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  • On nonnegative factorization of matrices
  • Topological proofs for certain theorems on matrices with non-negative elements
  • Nonnegative factorization of completely positive matrices
  • Notes on inverse M-matrices
  • Inverse M-matrices


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