A Lanczos algorithm for linear response
C. W. Johnson, G. F. Bertsch, W. D. Hazelton
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 Np as O(Np3).
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