Research On The Methods Of Rational Interpolation

Rational interpolation questions were comprehensively introduced in Reference Three. On this basis we present some computation methods of low degree unitary rational interpolation and give a few algorithms of biaviate rational interpolation functions on less inferior conditions. Moreover, we illustrate validity of the provided methods. They are concretely arrangeds as follows.In the first chapter, we outline the background and the main results obtained in this thesis.In the second chapter, we state some basic concepts and properties of rational interpolation, Existence uniqueness and algorithms of interpolating rational functions.In the third chapter, enlightened by the superposed algorithm of biariate polynomial interpolation, we present a simple method of finding low degree rational interpolation functions. Being ape to be tested, sufficient conditions of the existence of rational interpolation are put forward in the same time.In the fourth chapter, we mainly present some computation methods of biariate rational interpolation and have simply explored its existence.