Hadamard-type inequalities for \(k\)-positive matrices

DOI10.1016/j.laa.2021.11.018zbMath1482.15017arXiv2112.01462OpenAlexW3216873362MaRDI QIDQ2062819

Nam Q. Le

Publication date: 3 January 2022

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

Full work available at URL: https://arxiv.org/abs/2112.01462

zbMATH Keywords

Hadamard inequalityGårding's inequalityelementary symmetric functionssymmetric \(k\)-positive matrices

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• P-convex Riemannian manifolds
• On new structures in the theory of fully nonlinear equations
• Gårding's Theory of Hyperbolic Polynomials
• The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold
• p-convexity, p-plurisubharmonicity, and the Levi problem

This page was built for publication: Hadamard-type inequalities for \(k\)-positive matrices