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Total nonnegativity of the extended Perron complement

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Publication:307823
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DOI10.1016/J.LAA.2016.07.002zbMath1346.15029OpenAlexW2471027283MaRDI QIDQ307823

Mohammad Adm, Jürgen Garloff

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.07.002


zbMATH Keywords

Schur complementPerron complementtotally nonnegative matrixextended Perron complement


Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)


Related Items (1)

Intervals of totally nonnegative matrices




Cites Work

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  • Uncoupling the Perron eigenvector problem
  • Invariance of total positivity of a matrix under entry-wise perturbation and completion problems
  • Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems
  • Invariance of total nonnegativity of a tridiagonal matrix under element-wise perturbation
  • Totally positive matrices
  • On Perron complements of totally nonnegative matrices




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