Weak interlacing properties of totally positive matrices

DOI10.1016/0024-3795(85)90238-1zbMath0609.15010OpenAlexW1980250576MaRDI QIDQ1086651

Shmuel Friedland

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90238-1

zbMATH Keywords

eigenvaluesminorssymmetric operatorstotally positive matricesCauchy interlacing inequalities

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (7)

An inverse eigenvalue problem for totally nonnegative matrices ⋮ Interlacing properties of the eigenvalues of some matrix classes ⋮ Recent directions in matrix stability ⋮ Matrix Diagonal Stability and Its Implications ⋮ Notes on \(\omega\)- and \(\tau\)-matrices ⋮ Eigenvalues of products of matrices and submatrices in certain positivity classes ⋮ An interlacing property of eigenvalues of strictly totally positive matrices

Cites Work

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• Notes on \(\omega\)- and \(\tau\)-matrices
• Extremal eigenvalue problems for convex sets of symmetric matrices and operators
• Oscillation properties of generalized characteristic polynomials for totally positive and positive definite matrices
• Unzerlegbare, nicht negative Matrizen
• An inverse eigenvalue problem for totally nonnegative matrices
• The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity

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