In this report we discuss several iterative techniques for computing finite-beta, tensor-pressure equilibria of guiding center plasmas. These technioues have evolved in the course of investigations of the equilibrium and stability of plasmas confined in several existing and proposed experimental devices at ORNL:ELMO, The Canted-Mirror Facility, and the Elmo Bumpy Torus;and INTEREM, IMP and the proposed Long Field Experiment. These devices encompass magnetic configurations ranging from axisymmetric simple mirrors through various forms of magnetic "wells", to closed-line torus. For this reason the present review must deal with several distinct plasma models of varying complexity required to describe the experimentally observed equilibria in these different devices.
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