  An iterative Monte Carlo inversion method for the calculation of particle
pair potentials from given particle pair correlations is proposed in this
paper. The new method, which is best referred to as Iterative Ornstein-Zernike
Inversion, represents a generalization and an improvement of the established
Iterative Boltzmann Inversion technique [Reith, P\"{u}tz \& M\"{u}ller-Plathe,
J. Comput. Chem. 24, 1624 (2003)]. Our modification of Iterative Boltzmann
Inversion consists of replacing the potential of mean force as an approximant
for the pair potential with another, generally more accurate approximant that
is based on a trial bridge function in the Ornstein-Zernike integral equation
formalism. As an input, the new method requires the particle pair correlations
both in real space and in the Fourier conjugate wavenumber space. An
accelerated iteration method is included in the discussion, by which the
required number of iterations can be greatly reduced below that of the simple
Picard iteration that underlies most common implementations of Iterative
Boltzmann Inversion. Comprehensive tests with various pair potentials show that
the new method generally surpasses the Iterative Boltzmann Inversion method in
terms of reliability of the numerical solution for the particle pair potential.
