Multirational function approximation via linear programming

摘要

This paper presents a new method for the approximation of multi-real rational functions via linear programming. The formulation of the linear approximation problem is based on the minimization of a suitable criterion, which arrives from the well-known minimax criterion. The proposed algorithm permits the simultaneous approximation of the rational functions and has significant applications in many engineering design problems. Analytical examples are presented to illustrate the effectiveness and the advantages of the algorithm.