函数y=e^x在[0,1]上有理插值样条的存在性及递推算法

Existence of the rational interpolant spline for y=e^x on [0,1] and the recursive algorithm

在原有研究的基础上 ,讨论函数 y=ex在 [0 ,1]上的有理插值样条的存在性和惟一性 ,并利用 Sylvester恒等式得到P[L ,M]和 Q[L ,M]的 *** 、 ** * 型递推关系 ,建立相应的 C[L ,M]表、P[L ,M]表和 Q[L ,M]表 ,提供 S[L 。

The existence and uniqueness of the rational interpolant spline for y=e^x on [0,1] are discussed based on the result of related literature.The recursive relations of such types as *** and *** of P[L,M] and Q[L,M] are obtained by using the Sylvester formula, the related Table C[L,M], Table P[L,M] and Table Q[L,M] are set up, and a recursive algorithm of S[L,M] is given.