Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices

DOI10.1016/j.laa.2016.11.001zbMath1349.15090OpenAlexW2544724664MaRDI QIDQ347503

Mohammad Adm, Jürgen Garloff

Publication date: 30 November 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.2016.11.001

zbMATH Keywords

totally nonnegative matrix\(k\)-subdirect sumentry-wise perturbation

Mathematics Subject Classification ID

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

Related Items (4)

Completion of TP and TN border patterns ⋮ Tolerances, robustness and parametrization of matrix properties related to optimization problems ⋮ Unnamed Item ⋮ Regularity radius: Properties, approximation and a not a priori exponential algorithm

Cites Work

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• Efficient recognition of totally nonnegative matrix cells
• Totally nonnegative cells and matrix Poisson varieties
• Criteria for sign regularity of sets of matrices
• Subdirect sums of \(P(P_0)\)-matrices and totally nonnegative matrices
• Sub-direct sums and positivity classes of matrices
• Intervals of totally nonnegative matrices
• Invariance of total positivity of a matrix under entry-wise perturbation and completion problems
• Invariance of total nonnegativity of a tridiagonal matrix under element-wise perturbation
• Improved tests and characterizations of totally nonnegative matrices
• Totally positive matrices

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