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

• Articles • Previous Articles     Next Articles

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)

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.

2010 MSC Number: 

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