Criteria for sign regularity of sets of matrices

DOI10.1016/0024-3795(82)90010-6zbMath0534.15017OpenAlexW2084718435MaRDI QIDQ790211

Jürgen Garloff

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90010-6

zbMATH Keywords

interval arithmeticinterval matricestotally nonnegative matricescheckerboard partial orderingmatrix intervalsign-regular matrices

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items

Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices ⋮ Total negativity: characterizations and single-vector tests ⋮ Intervals of totally nonnegative matrices ⋮ Characterization, perturbation, and interval property of certain sign regular matrices ⋮ Tolerances, robustness and parametrization of matrix properties related to optimization problems ⋮ Sign non‐reversal property for totally non‐negative and totally positive matrices, and testing total positivity of their interval hull ⋮ Totally positive matrices ⋮ Intervals of special sign regular matrices ⋮ Determinants of Interval Matrices ⋮ Intervals of P-matrices and related matrices ⋮ Intervals of almost totally positive matrices

Cites Work

• Ein Kriterium für den Nachweis der Totalnichtnegativität von Bandmatrizen
• A Fourth-Order Finite-Difference Approximation for the Fixed Membrane Eigenproblem
• On the Characteristic Polynomial of the Product of Two Matrices
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