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The Lanczos scheme for finding low-lying eigenvalues of a sparse matrix of large dimension is applied to solving the Hamiltonian formulation for the O(2) and O(3) spin systems in 1 + 1 dimensions and the Ising model in 2 + 1 dimensions. We confirm results obtained for these models in other ways. The new method is shown to be competitive with the other methods available for solving these problems.
Roomany et al. (Sun,) studied this question.