Eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries
Volume 35 / 2008
Applicationes Mathematicae 35 (2008), 107-120
MSC: Primary 15A18.
DOI: 10.4064/am35-1-7
Abstract
We give explicit expressions for the eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries. Our techniques are based on the theory of recurrent sequences.
