Explicit, Nearly Optimal, Linear Rational Approximation with Preassigned Poles,
Abstract
This paper gives explicit rational functions for interpolating and approximating functions on the intervals -1,1, 0, infinity and -infinity, infinity. The rational functions are linear in the function f to be approximated. The error of approximation of these rationals is nearly as small as the error of best rational approximation with numerator and denominator polynomials of the same degree. Regions of analyticity of f are described, which make it possible to tell a priori, the accuracy which we can expect from rational approximation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1983
- Accession Number
- ADA131392
Entities
People
- Frank Stenger
Organizations
- University of Utah