Convergence of density functional iterative procedures with a Newton-Raphson algorithm

J. W. Jerome*, P. R. Sievert, L. H. Ye, I. G. Kim, Art J. Freeman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


State of the art first-principles calculations of electronic structures aim at finding the ground state electronic density distribution. The performance of such methodologies is determined by the effectiveness of the iterative solution of the nonlinear density functional Kohn-Sham equations. We first outline a solution strategy based on the Newton-Raphson method. A form of the algorithm is then applied to the simplest and earliest density functional model, i.e., the atomic Thomas-Fermi model. For the neutral atom, we demonstrate the effectiveness of a charge conserving Newton-Raphson iterative method for the computation, which is independent of the starting guess; it converges rapidly, even for a randomly selected normalized starting density.

Original languageEnglish (US)
Pages (from-to)349-352
Number of pages4
JournalJournal of Computational Electronics
Issue number1-3
StatePublished - Sep 2007


  • Density functional theory
  • Kohn-Shamsystem
  • Newton-Raphson algorithm
  • Thomas-Fermi model

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Modeling and Simulation
  • Electrical and Electronic Engineering


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