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

2006/10/09 by J. Toivanen, Toivanen, J.
Computer Science · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphite, nuclear technology, radiation studies #Matrix Theory and Algorithms #Nuclear Theory (nucl-th) #Parallel Computing and Optimization Techniques #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0610028

5 pages, 2 figures

arxiv created 2006/10/09 · openalex publication_date 2006/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 10¹0 to be made in more complex model spaces.

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