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An upgraded version of an algorithm developed few years ago for diagonalizing large matrices has been implemented for the nuclear shell model eigenvalue problem. The use of a spin uncoupled basis yields a quite sparse Hamiltonian matrix. Its dimensions are further reduced effectively by an importance sampling specific of the method. Some numerical examples enphasizes the potential of the revised algorithm

A new algorithm for large scale shell model calculations and its applicability to medium-heavy and neutron rich nuclei