2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58395We 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_iϕ(n), J_{nt+i nt+i+1}\sim b_iϕ(n), i=0,1,...,t-1, where a_i and b_i are finite, and ϕ(n) belongs to a certain class of nondecreasing functions.9 pages including 2 postscript figures, LatexMathematical Physicstext