A family of symmetric polynomials of the eigenvalues of a matrix

DOI10.1016/j.laa.2008.06.014zbMath1173.15002OpenAlexW2079852221MaRDI QIDQ947684

Vladimir V. Monov

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.014

zbMATH Keywords

nonnegative matricessymmetric polynomialseigenvalue inequalities

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (4)

Notes on particular symmetric polynomials with applications ⋮ On the realizability of the critical points of a realizable List ⋮ Some New Methods for Generating Convex Functions ⋮ Perturbations on constructible lists preserving realizability in the NIEP and questions of Monov

Cites Work

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• Conditions for a matrix to have only characteristic roots with negative real parts
• Inverse Eigenvalue Problems

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