Some inheritance properties for complementary basic matrices

DOI10.1016/j.laa.2010.07.017zbMath1254.15020OpenAlexW2069963422MaRDI QIDQ603134

Frank J. Hall, Miroslav Fiedler

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.017

zbMATH Keywords

companion matrixfactorizationsign pattern matrixtotally nonnegative matrix\(P\)-matrixoscillatory matrixcomplementary basic matrixsign nonsingular matrixsubdiagonal rankzig-zag shape

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48) Sign pattern matrices (15B35)

Related Items (6)

A note on permanents and generalized complementary basic matrices ⋮ Some graph theoretic properties of generalized complementary basic matrices ⋮ Combinatorial aspects of generalized complementary basic matrices ⋮ G-matrices ⋮ Factorizable matrices ⋮ Maximizing the numerical radii of matrices by permuting their entries

Cites Work

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• Sign patterns of inverse nonnegative matrices
• Structure ranks of matrices
• Ray patterns of matrices and nonsingularity
• A note on companion matrices
• Complementary basic matrices
• Totally nonnegative (0,1)-matrices
• Intrinsic products and factorizations of matrices
• A note on sign-nonsingular matrices
• Sign patterns that require eventual positivity or require eventual nonnegativity

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