A New Method of Constructing Bivariate Vector Valued Rational Interpolation Function

At present,the methods of constructing vector valued rational interpolation function in rectangular mesh are mainly presented by means of the branched continued fractions.In order to get vector valued rational interpolation function with lower degree and better approximation effect,the paper divides rectangular mesh into pieces by choosing nonnegative integer parameters d 1 (0 ≤ d 1 ≤ m) and d 2 (0 ≤ d 2 ≤ n),builds bivariate polynomial vector interpolation for each piece,then combines with them properly.As compared with previous methods,the new method given by this paper is easy to compute and the degree for the interpolants is lower.