Before revision:  In  a recent study  , it was proposed to  consider simulations as made of dozens of sequences of eigenvalue problems , where each sequence groups together eigenproblems with equal {\bf k}-vectors and an increasing outer-iteration cycle index i.
After revision:  In contrast to real-space methods, eigenpairs solving for problems at distinct cycles have either been believed to be independent or at most very loosely connected. In a recent study , it was proposed to consider simulations as made of dozens of sequences of eigenvalue problems , where each sequence groups together eigenproblems with equal {\bf k}-vectors and an increasing outer-iteration cycle index i.