Can we outperform the DIIS approach for electronic structure calculations

This article regroups various results on self-consistent field algorithms for computing electronic structures of molecular systems. The first part deals with the convergence properties of the “conventional” Roothaan algorithm and of the level-shifting algorithm. In the second part, a new class of algorithms is introduced, for which convergence is guaranteed by mathematical arguments. Computational performance on various test problems is reported; advantages of this new approach are demonstrated. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 79: 82–90, 2000