EPSILON-ALGORITHM AND ETA-ALGORITHM OF GENERALIZED INVERSE FUNCTION-VALUED PAD APPROXIMANTS USING FOR SOLUTION OF INTEGRAL EQUATIONS

被引：1

作者：

李春景

顾传青

机构：

[1] DepartmentofMathematics

[2] DepartmentofMathematics ShanghaiUniversity

[3] Shanghai

[4] PRChina

[5] TongjiUniversity

[6] ShanghaiUniversity

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2003年 / 02期

关键词：

generalized inverse; function_valued Padé approximant; epsilon_algorithm; eta_algorithm; integral equations;

D O I：

暂无

中图分类号：

O241.83 [积分方程的数值解法];

学科分类号：

070102 ;

摘要：

Two efficient recursive algorithms epsilonalgorithm and etaalgorithm are introduced to compute the generalized inverse functionvalued Padé approximants. The approximants were used to accelerate the convergence of the power series with functionvalued coefficients and to estimate characteristic value of the integral equations. Famous Wynn identities of the Pad approximants is also established by means of the connection of two algorithms.

引用

页码：221 / 229

页数：9