On the location of the eigenvalues of Jacobi matrices

DOI10.1016/j.aml.2005.11.029zbMath1176.15027OpenAlexW2122634536MaRDI QIDQ1031708

Carlos Martins de Fonseca

Publication date: 30 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.aml.2005.11.029

zbMATH Keywords

orthogonal polynomialstridiagonal matricesJacobi matrixlocation of eigenvalues

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities involving eigenvalues and eigenvectors (15A42) Real polynomials: location of zeros (26C10) Toeplitz, Cauchy, and related matrices (15B05)

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Cites Work

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• Spectrally arbitrary patterns
• Refined Interlacing Properties
• Interlacing Properties of Tridiagonal Symmetric Matrices with Applications to Parallel Computing
• Interlacing Properties for Hermitian Matrices Whose Graph is a Given Tree