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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (2): 221-229.

• 论文 • 上一篇    下一篇

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

李春景1,2, 顾传青1   

  1. 1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China;
    2. Department of Mathematics, Tongji University, Shanghai 200331, P.R.China
  • 收稿日期:2001-07-19 修回日期:2002-09-17 出版日期:2003-02-18 发布日期:2003-02-18
  • 通讯作者: LIU Yu-lu
  • 基金资助:

    the National Natural Science Foundation of China (10271074)

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

LI Chun-jing1,2, GU Chuan-qing 1   

  1. 1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China;
    2. Department of Mathematics, Tongji University, Shanghai 200331, P.R.China
  • Received:2001-07-19 Revised:2002-09-17 Online:2003-02-18 Published:2003-02-18
  • Supported by:

    the National Natural Science Foundation of China (10271074)

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摘要： Two efficient recursive algorithms epsilon-algorithm and eta-algorithm are introduced to compute the generalized inverse function-valued Pad? 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 identities of the Pad approximants is also established by means of the connection of two algorithms.

Abstract: Two efficient recursive algorithms epsilon-algorithm and eta-algorithm are introduced to compute the generalized inverse function-valued Pad? 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 identities of the Pad approximants is also established by means of the connection of two algorithms.

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