积分方程解广义逆函数值ε-算法的一种新用法

A New Application of Generalised Inverse Function\|valued ε-Algorithm Using for Solution of Integral Equations

广义逆函数值Pad逼近(GIPA)被引入来求解积分方程,而广义逆函数值ε 算法是计算GIPA的一种有效递推算法。本文用函数值ε 算法求出GIPA的分母多项式的零点,然后取它的实部作为积分方程特征值的近似值,与其它算法进行了实例比较,显示出估计积分方程特征值的ε 算法的优越性。

Generalized inverse function\|valued Padé approximants are used to solve the integral equations, while its ε\|algorithm is an efficient recursive algorithm. In this paper ε\|algorithm is used to the zeros of the denominator polynomial of GIPA, and take its real as the approximants of characteristic values of the integral equations. It is found that the new application of ε\|algorithm is very favourably to compare with the other algorithms in estimating characteristic value of the integral equation by an example.