On tridiagonal matrices associated with Jordan blocks

DOI10.2478/AUSM-2022-0004zbMath1504.15090OpenAlexW4309560649MaRDI QIDQ2110451

Victor Kowalenko, Carlos Martins de Fonseca

Publication date: 21 December 2022

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2022-0004

zbMATH Keywords

eigenvaluescharacteristic polynomialtridiagonal matricesChebyshev polynomials of the second kindJordan blocks

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05) Diagonalization, Jordan forms (15A20)

Uses Software

• OEIS

Cites Work

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• On two sequences of orthogonal polynomials related to Jordan blocks
• On the eigenvalues of some tridiagonal matrices
• Eigenvalues and eigenvectors of some tridiagonal matrices
• Upward extension of the Jacobi matrix for orthogonal polynomials
• Eigenpairs of a family of tridiagonal matrices: three decades later
• On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers
• On Co-Recursive Orthogonal Polynomials
• Ninety years of k-tridiagonal matrices

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