LOBPCG method of Andrew Knyazev used on the K computer in Japan for superconductivity research

RIKEN is Japan's largest comprehensive research institution. The RIKEN Center for Computational Science (R-CCS) is the leadership research center in high performance computing and computational science in Japan, operating the K computer in Kobe, Japan, which achieves 602.7 teraflops on the High Performance Gradients (HPCG), making it the world HPCG top.

R-CCS researchers and collaborators in their new paper (https://link.springer.com/content/pdf/10.1007%2F978-3-319-69953-0_14.pdf) at the Asian Conference on Supercomputing Frontiers use the Hubbard model for strongly-correlated electron systems to understand the mechanism behind the superconductivity. To calculate the ground state of the Hamiltonian, they implement on the K computer and successfully test the Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) method, invented in 2001 by Andrew Knyazev; see his recent review of LOBPCG "Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG)", Householder Symposium on Numerical Linear Algebra, June 2017.