Numerische Methoden zur Behandlung einiger Problemklassen der nichtlinearen Tschebyscheff-Approximation mit Nebenbedingungen

Abstract

Numerical Methods for Constrained Nonlinear Chebyshev ApproximationSummary. The numerical treatment of Chebyshev approximation problems is often difficult in practice because of complicated constraints. These are common in applications, for instance in differential equations. In this paper algorithms are derived for a constructive treatment of several classes of approximation problems, including parameter restrictions by Fr6chet-differentiable mappings and inequality constraints in the space of approximating functions. The convergence properties of these methods are discussed and applications to practical problems are given.