Superlinear CG convergence for special right-hand sides
A family of examples is presented based on finite differences discretization of the one dimensional Poisson problem where the asymptotic distribution equals an equilibrium distribution but superlinear convergence is observed depending on the choice of the right-hand sides. The findings of the authors are related to some recent results on asymptotics of discrete orthogonal polynomials. An important tool in the analysis is a constrained energy problem in logarithmic potential theory where an additional external field is used being related to particular right-hand sides.
scientific article; zbMATH DE number 1893808