title: Non-linear eigensolver-based alternative to traditional SCF methods.
abstract: The self-consistent procedure in electronic structure calculations is revisited using a highly efficient and robust algorithm for solving the non-linear eigenvector problem, i.e., H({ψ})ψ = Eψ. This new scheme is derived from a generalization of the FEAST eigenvalue algorithm to account for the non-linearity of the Hamiltonian with the occupied eigenvectors. Using a series of numerical examples and the density functional theory-Kohn/Sham model, it will be shown that our approach can outperform the traditional SCF mixing-scheme techniques by providing a higher converge rate, convergence to the correct solution regardless of the choice of the initial guess, and a significant reduction of the eigenvalue solve time in simulations.
authors.affiliation: Department of Electrical and Computer Engineering, 100 Natural Resources Road, Marcus 201, University of Massachusetts, Amherst, Massachusetts 01003, USA.
authors.forename: B
authors.initials: B
authors.lastname: Gavin
authors.forename: E
authors.initials: E
authors.lastname: Polizzi