Divide-and-conquer approaches to quantum chemistry: Theory and implementation

Masato Kobayashi, Hiromi Nakai*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

33 Citations (Scopus)


Recently, the authors implemented the linear-scaling divide-and-conquer (DC) quantum chemical methodologies into the GAMESS-US package, which is available without charge. In this Chapter, we summarized recent developments in the DC methods, namely, the density-matrix-based DC self-consistent field (SCF) and the DC-based post-SCF electron correlation methods. Especially, the DC-based post-SCF calculation is considerably efficient, i.e., its computational time achieves near-linear scaling with respect to the system size [O(N 1)] and the required memory and scratch sizes are hardly dependent on the system size [O(N 0)]. Numerical assessments also revealed the reliability of the DC methods.

Original languageEnglish
Title of host publicationChallenges and Advances in Computational Chemistry and Physics
Number of pages31
Publication statusPublished - 2011

Publication series

NameChallenges and Advances in Computational Chemistry and Physics
ISSN (Print)2542-4491
ISSN (Electronic)2542-4483


  • Atomic basis function
  • Coupled cluster method
  • Density functional theory
  • Divide-and-conquer method
  • Electron correlation
  • Hartree-Fock theory
  • Møller-Plesset perturbation theory
  • Self-consistent field calculation

ASJC Scopus subject areas

  • Chemistry (miscellaneous)
  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications


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