Geodesic
Eigenvalues and eigenvectors of tridiagonal matrices
The electronic journal of linear algebra, Tome 15 (2006), pp. 115-133.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper is continuation of previous work by the present author, where explicit formulas for the eigenvalues associated with several tridiagonal matrices were given. In this paper the associated eigenvectors are calculated explicitly. As a consequence, a result obtained by WenChyuan Yueh and independently by S. Kouachi, concerning the eigenvalues and in particular the corresponding eigenvectors of tridiagonal matrices, is generalized. Expressions for the eigenvectors are obtained that differ completely from those obtained by Yueh. The techniques used herein are based on theory of recurrent sequences. The entries situated on each of the secondary diagonals are not necessary equal as was the case considered by Yueh.
Classification : 15A18
Keywords: eigenvectors, tridiagonal matrices 
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     author = {Kouachi, Said},
     title = {Eigenvalues and eigenvectors of tridiagonal matrices},
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     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2006__15__a20/}
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Kouachi, Said. Eigenvalues and eigenvectors of tridiagonal matrices. The electronic journal of linear algebra, Tome 15 (2006), pp. 115-133. http://geodesic.mathdoc.fr/item/ELA_2006__15__a20/