On the characterization of almost strictly totally positive matrices

DOI10.1007/BF02432001zbMath0837.15018MaRDI QIDQ1899289

Juan Manuel Peña, Mariano Gasca

Publication date: 9 October 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

factorizationsNeville eliminationalmost strictly totally positive matricesalgorithmic characterizationdeterminantal characterization

Mathematics Subject Classification ID

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

Related Items (19)

The re-nonnegative definite and re-positive definite solutions to the matrix equation \(AXB=D\) ⋮ Characterizations of M-Banded ASSR Matrices ⋮ Tests for the recognition of total positivity ⋮ Characterization and construction of tridiagonal almost strictly sign regular matrices ⋮ The work of Mariano Gasca ⋮ Bidiagonal factorizations with some parameters equal to zero ⋮ Nonsingular almost strictly sign regular matrices ⋮ Depth of almost strictly sign regular matrices ⋮ An optimal test for almost strict total positivity ⋮ On the characterization of almost strictly sign regular matrices ⋮ QR decomposition of almost strictly sign regular matrices ⋮ Backward error analysis of Neville elimination ⋮ Inner totally positive matrices ⋮ Characterizations and stable tests for the Routh--Hurwitz conditions and for total positivity ⋮ Almost strict total positivity and a class of Hurwitz polynomials ⋮ Determinantal criteria for total positivity ⋮ Tropical totally positive matrices ⋮ Intervals of almost totally positive matrices ⋮ Algorithmic characterization of pentadiagonal ASSR matrices

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• The LU-factorization of totally positive matrices
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• A Hurwitz Matrix is Totally Positive
• Spaces with Almost Strictly Totally Positive Bases
• Totally positive matrices

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