Summary
The use of modified Lanczos procedure to obtain the ground-state eigenvalue and eigenvector of the Hamiltonians of physical systems and its subsequent modification for the determination of excited states has been revealed a very efficient and powerful procedure. Nevertheless, when implementing the method, one notices that the convergence of the algorithm is very slow, so that the calculation may become heavy from a computational point of view. The aim of this paper is the proposal of an accelerated-convergence technique (which has already been successfully used in density-of-states calculations), that allows to obtain a faster convergence of the modified Lanczos eigenvalues to the exact ones. The advantages of such a technique are shown through the discussion of some examples.
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Cordelli, A. Application of accelerated-convergence technique to modified Lanczos calculations. Il Nuovo Cimento D 16, 45–53 (1994). https://doi.org/10.1007/BF02452001
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DOI: https://doi.org/10.1007/BF02452001