Quartic scaling evaluation of canonical scaled opposite spin second-order Moller-Plesset correlation energy using Cholesky decompositions

Research output: Contribution to journalArticle


The scaled opposite spin second-order Moller-Plesset (SOS-MP2) energy expression is reformulated using Cholesky decomposition of the amplitude matrix. The resulting algorithm requires an auxiliary basis or Cholesky representation of the two-electron integrals and shows fourth-order scaling with system size. Based on an analysis of operation counts, we estimate that the present approach is computationally advantageous compared to the analogous fourth-order algorithms that employ Laplace transforms. (C) 2007 Elsevier B.V. All rights reserved.


  • Francesco Aquilante
  • Thomas Pedersen
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Theoretical Chemistry
Original languageEnglish
Pages (from-to)354-357
JournalChemical Physics Letters
Issue number4-6
Publication statusPublished - 2007
Publication categoryResearch

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Theoretical Chemistry (S) (011001039)