用于积分方程解的广义逆函数值Padé 逼近的ε-算法和η-算法  

Epsilon-Algorithm and Eta-Algorithm of Generalized Inverse Function-Valued Padé Approximants Using for Solution of Integral Equations

作　　者：李春景[1] 顾传青[1] 

机构地区：[1]上海大学数学系

出　　处：《应用数学和力学》2003年第2期197-204,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10271074)

摘　　要：　为加速具有函数值系数的幂级数收敛并估计积分方程的特征值,建立了两个计算广义逆函数值Pad啨逼近的有效的递推算法:ε＿算法和η＿算法·　借助于这两个算法之间的内在关系。Two efficient recursive algorithms epsilon_algorithm and eta_algorithm are introduced to compute the generalized inverse function_valued Padé approximants. The approximants were used to accelerate the convergence of the power series with function_valued coefficients and to estimate characteristic value of the integral equations. Famous Wynn identification of the Pad approximants is also established by means of the connection of two algorithms.

关 键 词：广义逆 函数值Pade逼近 ε-算法 η-算法 积分方程 

分 类 号：O241.83[理学—计算数学] O174.41[理学—数学]