Multiobjective Optimization on Function Spaces: A Kolmogorov Approach

摘要: Abstract : This report makes explicit that the Kolmogorov Criterion can specialize with sufficient detail to yield concrete and computationally viable tests identify solutions difficult optimization problems. Specifically, classical equal-ripple characterization of best polynomial approximation is generalized nonlinear optimization, then again multiobjective optimization. Thus, results in stretching over this last century readily fit into a single framework are illustrated applications filter design control theory. In addition finite-dimensional polynomials, also applies infinite-dimensional disk algebra. The algebra basic signal processing Many engineering problems these disciplines on characterizes minimizers By making working specific examples, equips researchers general approach spaces functions collection accessible research