Characterizations and Decompositions of Almost Strictly Positive Matrices

DOI10.1137/050631203zbMath1109.65029OpenAlexW2036412300MaRDI QIDQ5470519

Mariano Gasca, Juan Manuel Peña

Publication date: 31 May 2006

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050631203

zbMATH Keywords

total positivityminorsQR factorizationalmost strictly totally positive matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Numerical computation of determinants (65F40) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (12)

Characterizations of M-Banded ASSR Matrices ⋮ Tests for the recognition of total positivity ⋮ Bidiagonal factorizations with some parameters equal to zero ⋮ Total nonnegativity of matrices related to polynomial roots and poles of rational functions ⋮ Nonsingular almost strictly sign regular matrices ⋮ An optimal test for almost strict total positivity ⋮ Almost strictly totally negative matrices: an algorithmic characterization ⋮ On the characterization of almost strictly sign regular matrices ⋮ Rank structure properties of rectangular matrices admitting bidiagonal-type factorizations ⋮ Decompositions of strictly sign regular matrices ⋮ QR decomposition of almost strictly sign regular matrices ⋮ Almost strictly sign regular rectangular matrices

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