Intervals of almost totally positive matrices

DOI10.1016/S0024-3795(01)00429-3zbMath1019.15008OpenAlexW2039682687MaRDI QIDQ1870044

Jürgen Garloff

Publication date: 4 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00429-3

zbMATH Keywords

interval arithmetictotally nonnegative matricesalmost totally positive matriceschequerboard partial orderingmatrix intervals

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (6)

Tests for the recognition of total positivity ⋮ Intervals of totally nonnegative matrices ⋮ Decompositions of strictly sign regular matrices ⋮ Entrainment to subharmonic trajectories in oscillatory discrete-time systems ⋮ Intervals of special sign regular matrices ⋮ Almost strict total positivity and a class of Hurwitz polynomials

Cites Work

• Criteria for sign regularity of sets of matrices
• The approximation of a totally positive band matrix by a strictly banded totally positive one
• Almost strictly totally positive matrices
• Some properties of totally positive matrices
• On the characterization of almost strictly totally positive matrices
• A Hurwitz Matrix is Totally Positive
• On the Total Nonnegativity of the Hurwitz Matrix
• A Fourth-Order Finite-Difference Approximation for the Fixed Membrane Eigenproblem
• Totally positive matrices
• Total positivity: tests and parametrizations.
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