Order-N methods in self-consistent density-functional calculations

W. Hierse, E. B. Stechel

Research output: Contribution to journalArticlepeer-review

74 Scopus citations


We discuss the potential impact of N-scaling algorithms on self-consistent density-functional calculations. N-scaling algorithms can increase numerical efficiency in two qualitatively different ways: First, by eliminating the O(N3) scaling of numerical diagonalizations or orthogonalizations, and second, through the transferability of localized electronic-structure information between chemically related, but globally different systems. We argue that the second aspect is potentially of great practical importance to self-consistent density-functional calculations. We describe how the transferability of electronic-structure information can be exploited and give numerical examples.

Original languageEnglish (US)
Pages (from-to)17811-17819
Number of pages9
JournalPhysical Review B
Issue number24
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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