Applied Mathematics and Mechanics

, Volume 24, Issue 2, pp 221–229 | Cite as

Epsilon-algorithm and eta-algorithm of generalized inverse function-valued padé approximants using for solution of integral equations

  • Li Chun-jing
  • Gu Chuan-qing


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 identities of the Padé approximants is also established by means of the connection of two algorithms.

Key words

generalized inverse function-valued Padé approximant epsilon-algorithm eta-algorithm integral equations 

Chinese Library Classification


2000 MR Subject Classification



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Li Chun-jing
    • 1
    • 2
  • Gu Chuan-qing
    • 1
  1. 1.Department of MathematicsShanghai UniversityShanghaiP.R. China
  2. 2.Department of MathematicsTongji UniversityShanghaiP.R. China

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