SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.

Abstract

A summary of the results on the scalar rational interpolation problem obtained by A. C. Antoulas and B. D. O. Anderson (1986) is presented. The authors consider the pairs of points (X//p Y//i), i epsilon N, where each entry belongs to some arbitrary but fixed infinite field. The fundamental problem to be investigated is to parametrize all rational functions y(x) equals n(x)/d(x), in particular the ones having minimal complexity, which interpolate the above points. If these points are distinct, i. e. x//i does not equal x//p i does not equal j, then y(x//i) equals y//i, i epsilon N. Show more