Some inheritance properties for complementary basic matrices
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Publication:603134
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
companion matrixfactorizationsign pattern matrixtotally nonnegative matrix\(P\)-matrixoscillatory matrixcomplementary basic matrixsign nonsingular matrixsubdiagonal rankzig-zag shape
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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