The Hadamard core of the totally nonnegative matrices

DOI10.1016/S0024-3795(00)00337-2zbMath0989.15009MaRDI QIDQ5935568

Alissa S. Crans, Charles R. Johnson, Shaun M. Fallat

Publication date: 26 June 2001

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

zbMATH Keywords

Hadamard productranktotally nonnegative matricesHadamard coreOppenheim inequalitytridiagonal matrices

Mathematics Subject Classification ID

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

Related Items (9)

Total Positivity: A New Inequality and Related Classes of Matrices ⋮ On the solvability of derived matrix problems, including completions and duals ⋮ Hadamard powers and totally positive matrices ⋮ On the extension of some total positivity inequalities ⋮ Bidiagonal factorizations and quasi-oscillatory rectangular matrices ⋮ New lower bound of the determinant for Hadamard product on some totally nonnegative matrices ⋮ Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples ⋮ Inverse \(M\)-matrices. II ⋮ Total nonnegativity of GCD matrices and kernels

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• On oscillatory matrices
• A semigroup of totally nonnegative matrices
• A reduction theorem for totally positive matrices
• Matrix Analysis
• Diagonally dominant matrices
• Totally positive matrices

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