The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory

DOI10.1016/j.laa.2010.04.035zbMath1210.15011OpenAlexW2021669596MaRDI QIDQ630508

Anton Zettl, Qing Kai Kong

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.035

zbMATH Keywords

matrix eigenvalue problemsSturm-Liouville theoryJacobi and cyclic Jacobi matrices

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions ⋮ Equivalence of fourth order boundary value problems and matrix eigenvalue problems ⋮ Matrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditions ⋮ Matrix representations of fourth order boundary value problems with finite spectrum ⋮ A new inverse three spectra theorem for Jacobi matrices ⋮ Matrix representations of Sturm-Liouville problems with transmission conditions ⋮ A method for recovering Jacobi matrices with mixed spectral data ⋮ Refinements of the Hadamard and Cauchy-Schwarz inequalities with two inequalities of the principal angles ⋮ Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter

Cites Work

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• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Discrete and continuous boundary problems
• Matrix Analysis
• Sturm-Liouville problems with finite spectrum