Eigenvalue density for a class of Jacobi matrices
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We obtain the asymptotic distribution of eigenvalues of real symmetric tridiagonal matrices as their dimension increases to infinity and whose diagonal and off-diagonal elements asymptotically change with the index n as J_{nt+i nt+i}\sim a_i\phi(n), J_{nt+i nt+i+1}\sim b_i\phi(n), i=0,1,...,t-1, where a_i and b_i are finite, and \phi(n) belongs to a certain class of nondecreasing functions.
Keywords
Cite
@article{arxiv.math-ph/9909020,
title = {Eigenvalue density for a class of Jacobi matrices},
author = {I. V. Krasovsky},
journal= {arXiv preprint arXiv:math-ph/9909020},
year = {2007}
}
Comments
9 pages including 2 postscript figures, Latex