Nonsingular almost strictly sign regular matrices

DOI10.1016/j.laa.2012.01.012zbMath1246.15032OpenAlexW1981778041MaRDI QIDQ414700

Jianzhou Liu, Rong Huang, L. Zhu

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.01.012

zbMATH Keywords

signaturealmost strictly sign regular matricesalmost strictly totally positive matricesboundary almost trivial minorsdeterminatenontrivial minors

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Sign pattern matrices (15B35)

Related Items (14)

Combined matrices of sign regular matrices ⋮ Backward stability with almost strictly sign regular matrices ⋮ Characterizations of M-Banded ASSR Matrices ⋮ Characterization and construction of tridiagonal almost strictly sign regular matrices ⋮ Comparing pivoting strategies for almost strictly sign regular matrices ⋮ Combined matrices of almost strictly sign regular matrices ⋮ Depth of almost strictly sign regular matrices ⋮ Almost strictly totally negative matrices: an algorithmic characterization ⋮ On the characterization of almost strictly sign regular matrices ⋮ Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting ⋮ QR decomposition of almost strictly sign regular matrices ⋮ Intervals of special sign regular matrices ⋮ Almost strictly sign regular rectangular matrices ⋮ Algorithmic characterization of pentadiagonal ASSR matrices

Cites Work

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• Total Positivity, $QR$ Factorization, and Neville Elimination
• $LDU$ Factorization of Nonsingular Totally Nonpositive Matrices
• A Hurwitz Matrix is Totally Positive
• Sign Regular Matrices of Order Two
• Characterizations and Decompositions of Almost Strictly Positive Matrices
• Totally positive matrices

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