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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-7,
author = {S. Kouachi},
title = {Eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries},
journal = {Applicationes Mathematicae},
volume = {35},
year = {2008},
pages = {107-120},
zbl = {1143.15006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-7}
}
S. Kouachi. Eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries. Applicationes Mathematicae, Tome 35 (2008) pp. 107-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-7/