Some eigenvalue inequalities for a class of Jacobi matrices

DOI10.1016/0024-3795(90)90030-GzbMath0709.15016WikidataQ59158345 ScholiaQ59158345MaRDI QIDQ921093

Rafael D. Benguria, Mark S. Ashbaugh

Publication date: 1990

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

zbMATH Keywords

Jacobi matriceseigenvalue inequalitiesleast eigenvaluesdiscrete one-dimensional Laplacian

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (5)

On the Neumann eigenvalues for second-order Sturm-Liouville difference equations ⋮ The fundamental gap for a class of Schrödinger operators on path and hypercube graphs ⋮ Optimizing quadratic forms of adjacency matrices of trees and related eigenvalue problems ⋮ Maximizing the numerical radii of matrices by permuting their entries ⋮ Boundary effects on eigen-problems of discrete Laplacian in lattices

Cites Work

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• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• On the construction of a Jacobi matrix from spectral data
• A result on rearrangements
• On some inverse problems in matrix theory
• Bounds for the principal frequency of nonuniformly loaded strings
• On the Ratio of Consecutive Eigenvalues
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

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