A. Luchow et H. Kleindienst, STABLE AND EFFICIENT ALGORITHM FOR SELECTED EIGENVALUES AND EIGENVECTORS OF THE GENERAL SYMMETRICAL EIGENPROBLEM, Computers & chemistry, 17(1), 1993, pp. 61-66
A stable and efficient algorithm for the general symmetric matrix eige
nproblem is given which allows the calculation of selected eigenvalues
and eigenvectors in large Hylleraas-CIs. The method is based on a new
version of the inverse iteration. The algorithm was successfully appl
ied to a Hylleraas-CI for the Li-atom with dimensions of the basis up
to 1589.