Project supported by the National Natural Science Foundation of China (No. 10171026, No. 60473114); the AnhuiProvincial Natural Science Foundation, China (No. 03046102);the Research Funds for Young InnovationGroup, Education Department of Anhui Province (No. 2005TD03).
This paper constructs a new kind of block based bivariate blending rational interpolation via symmetric branched continued fractions. The construction process may be outlined as follows. The first step is to divide th...