文章利用牛顿多项式插值和关联连分式插值构造一种新的二元牛顿关联连分式插值,给出了一种新的等价算法——矩阵算法,数值例子表明了该算法的有效性。
A kind of new bivariate Newton associated continued fraction interpolation is constructed by the Newton interpolation polynomial and associated continued fraction interpolation.A new equivalent algorithm namely matrix algorithm is given and its effectiveness is validated by numerical examples.