Efficient, Massively Parallel Eigenvalue Computation

Abstract

In numerical simulations of disordered electronic sys tems, one of the most common approaches is to diag onalize random Hamiltonian matrices and to study the eigenvalues and eigenfunctions of a single electron in the presence of a random potential. We describe an effort to implement a matrix diagonalization routine for real symmetric dense matrices on massively parallel SIMD computers, the Maspar MP-1 and MP-2 systems. Results of numerical tests and timings are also presented.