Eigenvalues of a certain class of tridiagonal matrices: a brief comment

DOI10.1016/j.amc.2015.04.018zbMath1410.15052OpenAlexW295462611MaRDI QIDQ1663387

Carlos Martins de Fonseca

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.018

zbMATH Keywords

eigenvaluescharacteristic polynomialtridiagonal matricesChebyshev polynomials of second kind

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Characterization and properties of r-Toeplitz matrices
• The eigenproblem of a tridiagonal 2-Toeplitz matrix
• Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• The minimal eigenvalues of a class of block-tridiagonal matrices
• On Minimal Eigenvalues of a Class of Tridiagonal Matrices
• Inversion of Toeplitz Matrices which are not Strongly Non-singular
• Explicit inverses of some tridiagonal matrices

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