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Complete solution to the TP2completion problem

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Publication:2929480
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DOI10.1080/03081087.2013.831093zbMath1307.15039OpenAlexW1977185227MaRDI QIDQ2929480

Charles R. Johnson, Shahla Nasserasr

Publication date: 12 November 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.831093


zbMATH Keywords

algorithmexponential inequalitypartial matrixtotally positive matrixmatrix completion problemfinitely generated conepolynomial inequality\(TP_2\) matrixpartial order on nonnegative matrices


Mathematics Subject Classification ID

Partial orders, general (06A06) Positive matrices and their generalizations; cones of matrices (15B48) Matrix completion problems (15A83) Sign pattern matrices (15B35)


Related Items (2)

On the solvability of derived matrix problems, including completions and duals ⋮ Complex symmetric completions of partial operator matrices



Cites Work

  • Unnamed Item
  • Unnamed Item
  • More on the Bruhat order for (0, 1)-matrices
  • Hadamard powers and totally positive matrices
  • Mirrors and reflections. The geometry of finite reflection groups.
  • Monomial nonnegativity and the Bruhat order
  • A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems


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