Extremal Rational Functions on Symmetric Discrete Sets and Superlinear Convergence of the ADI Method

There is a very fruitful interaction between numerical linear algebra and logarithmic potential theory. For instance, we may describe weak asympotics for a polynomial extremal problem occurring in the convergence analysis of conjugate gradients (CG) or of Ritz values; here the link with a constrained minimal energy problem allows to quantify the effect of superlinear convergence.