Intervals of totally nonnegative matrices

DOI10.1016/j.laa.2013.10.021zbMath1283.15099OpenAlexW2029375821MaRDI QIDQ2435576

Mohammad Adm, Jürgen Garloff

Publication date: 19 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.10.021

zbMATH Keywords

totally nonnegative matricesmatrix intervalCauchon algorithmCauchon diagramcheckerboard ordering

Mathematics Subject Classification ID

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

Related Items (9)

Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices ⋮ On the sensitivity of generators for the QR factorization of quasiseparable matrices with total nonpositivity ⋮ Total nonnegativity of matrices related to polynomial roots and poles of rational functions ⋮ Characterization, perturbation, and interval property of certain sign regular matrices ⋮ Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization ⋮ Sign non‐reversal property for totally non‐negative and totally positive matrices, and testing total positivity of their interval hull ⋮ Unnamed Item ⋮ Intervals of special sign regular matrices ⋮ Unnamed Item

Cites Work

• Total nonnegativity of the extended Perron complement
• Totally nonnegative cells and matrix Poisson varieties
• Criteria for sign regularity of sets of matrices
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• Intervals of almost totally positive matrices
• A Fourth-Order Finite-Difference Approximation for the Fixed Membrane Eigenproblem
• Totally positive matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Intervals of totally nonnegative matrices