A Lanczos algorithm for linear response

Details A Lanczos algorithm for linear response A Lanczos algorithm for linear response

1998-02-06

arxiv.org/abs/physics/9802014v1

Comp. Phys. Comm. 120 (1999) 155

Physics

Computational Physics

12 pages including 3 figures; Latex

Scientific paper

10.1016/S0010-4655(99)00248-9

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).

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