用于积分方程解的函数值Padé-型逼近的恒等式与递推算法

Identities and a Recursive Algorithm of Function-Valued Padé-Type Approximation Using for Solution of Integral Equations

函数值Padé-型逼近被引入来求解积分方程.文中建立了函数值Padé-型逼近的几个有用的恒等式,给出了一种新的递推算法,并通过实例说明了该方法的有效性.

To solve Fredholm integral equations of the second kind, a generalized linear functional was introduced and then function-valued Padé-type approximation was defined. Some useful identities are established by means of error formulas for function-valued Padé-type approximation. A recursive algorithm is also constructed. An example is given to show efficience of this method.