A Lanczos algorithm for linear response
Computational Physics
2009-10-31 v1
Abstract
An iterative algorithm is presented for solving the RPA equations of linear response. The method optimally computes the energy-weighted moments of the strength function, allowing one to match the computational effort to the intrinsic accuracy of the basic mean-field approximation, avoiding the problem of solving very large matrices. For local interactions, the computational effort for the method scales with the number of particles N_p as O(N_p^3).
Cite
@article{arxiv.physics/9802014,
title = {A Lanczos algorithm for linear response},
author = {C. W. Johnson and G. F. Bertsch and W. D. Hazelton},
journal= {arXiv preprint arXiv:physics/9802014},
year = {2009}
}
Comments
12 pages including 3 figures; Latex