Efficient matrix-vector products for large-scale nuclear Shell-Model calculations

Abstract

A method to accelerate the matrix-vector products of j-scheme nuclear Shell-Model Configuration Interaction (SMCI) calculations is presented. The method takes advantage of the matrix product form of the j-scheme proton-neutron Hamiltonian matrix. It is shown that the method can speed up unrestricted large-scale pf-shell calculations by up to two orders of magnitude compared to previously existing related j-scheme method. The new method allows unrestricted SMCI calculations up to j-scheme dimension 10^10 to be made in more complex model spaces.

5 pages, 2 figures