A Lanczos algorithm for linear response
arXiv:physics/9802014 · doi:10.1016/S0010-4655(99)00248-9
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).
12 pages including 3 figures; Latex