Abstract
Hybrid Rational Function Approximation(HRFA) is a rational function approximation using approximate GCD algorithm. Properties of HRFA are considerd in details. HRFA is used for approximating a set of discrete data and gives satisfactory results. It is also shown that HRFA is powerful to smooth data which contains some large noises. HRFA is compared with "least square approximation" and "best rational approximation" and it shows various superiorities over others.
