The eigenvalue spreads of a hermitian matrix and its principal submatrices

DOI10.1080/03081089208818173zbMath0761.15019OpenAlexW2078339404MaRDI QIDQ4015403

Robert C. Thompson

Publication date: 12 January 1993

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

Full work available at URL: https://doi.org/10.1080/03081089208818173

zbMATH Keywords

Hermitian matrixlargest and smallest eigenvalueseigenvalue spreads

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Root spreads for polynomials and Hermitian matrix pencils ⋮ The Laplacian spread of unicyclic graphs ⋮ On the spread of a hermitian matrix and a conjecture of thompson ⋮ The \(A_\alpha\)-spread of a graph ⋮ On least distance eigenvalue of uniform hypergraphs ⋮ Minimizing the least eigenvalues of unicyclic graphs with application to spectral spread ⋮ The spread of the spectrum of a graph ⋮ On adjacency-distance spectral radius and spread of graphs ⋮ On the spread of certain normal matrices

Cites Work

• Numerical ranges of principal submatrices
• Eigenvalue inequalities for principal submatrices
• Principal submatrices. II: The upper and lower quadratic inequalities
• On Cauchy's Inequalities for Hermitian Matrices