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A Lanczos algorithm for linear response

C. W. Johnson·G. F. Bertsch·W. D. Hazelton
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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).

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C. W. Johnson, G. F. Bertsch, W. D. Hazelton. 1998-02-06. A Lanczos algorithm for linear response. https://doi.org/10.1016/s0010-4655(99)00248-9

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