Eigenvectors of tridiagonal matrices of Sylvester type

DOI10.1007/s10092-008-0153-4zbMath1175.15010OpenAlexW2080700272MaRDI QIDQ734119

Xiao Yuan Wang, Chu, Wenchang

Publication date: 19 October 2009

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-008-0153-4

zbMATH Keywords

eigenvectorstridiagonal matricesKrawtchouk polynomial\(q\)-Racah polynomialsdual Hahn polynomialeigenvlauesSylvester determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (18)

Schrödinger's tridiagonal matrix ⋮ Umbral operators for Cayley and Sylvester continuants ⋮ ON GAUSSIAN FIBONACCI-SYLVESTER-KAC MATRIX ⋮ FERMAT-SYLVESTER-KAC MATRIX ⋮ Unnamed Item ⋮ LEFT AND RIGHT EIGENVECTORS OF A VARIANT OF THE SYLVESTER–KAC MATRIX ⋮ Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix ⋮ Intersecting families in classical Coxeter groups ⋮ Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix ⋮ A short note on the determinant of a Sylvester-Kac type matrix ⋮ Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices ⋮ Computing the eigenvectors of nonsymmetric tridiagonal matrices ⋮ Unnamed Item ⋮ Elliptic Kac-Sylvester matrix from difference Lamé equation ⋮ $q$-Deformation of the Kac-Sylvester tridiagonal matrix ⋮ Spectrum and eigenvectors for a class of tridiagonal matrices ⋮ The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation ⋮ A new type of Sylvester–Kac matrix and its spectrum

Cites Work

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