The converse of Weyl's eigenvalue inequality

DOI10.1016/j.aam.2019.05.003zbMath1416.15016arXiv1910.02627OpenAlexW3100741634WikidataQ127839293 ScholiaQ127839293MaRDI QIDQ2002050

Yi Wang, Sai-Nan Zheng

Publication date: 11 July 2019

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02627

zbMATH Keywords

eigenvalueHermitian matrixWeyl's inequalityinertia index

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Real polynomials: location of zeros (26C10)

Related Items (2)

Inertia indices and eigenvalue inequalities for Hermitian matrices ⋮ A unified proof of interlacing properties of eigenvalues of totally positive matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The roots of the independence polynomial of a clawfree graph
• Polynomials with real zeros and Pólya frequency sequences
• Interlacing families. I: Bipartite Ramanujan graphs of all degrees
• A unified approach to polynomial sequences with only real zeros
• Imbedding Conditions for Hermitian and Normal Matrices
• Sum of Hermitian Matrices with Given Eigenvalues: Inertia, Rank, and Multiple Eigenvalues
• Brenti's Open Problem on the Real-Rootedness of $q$-Eulerian Polynomials of Type $D$
• The 𝐬-Eulerian polynomials have only real roots

This page was built for publication: The converse of Weyl's eigenvalue inequality