Abstract
Eigenvectors of the tridiagonal matrices of Sylvester type are explicitly determined. These are closely related to orthogonal polynomials named after Krawtchouk, (dual) Hahn and Racah as well as to q-Racah polynomials.
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Chu, W., Wang, X. Eigenvectors of tridiagonal matrices of Sylvester type. Calcolo 45, 217–233 (2008). https://doi.org/10.1007/s10092-008-0153-4
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DOI: https://doi.org/10.1007/s10092-008-0153-4
Keywords
- Tridiagonal matrix
- eigenvalue
- eigenvector
- Sylvester determinant
- Krawtchouk polynomial
- dual Hahn polynomial
- Racah polynomial
- q-Racah polynomial