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/