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

LI Chun-jing; GU Chuan-qing

Volume 24 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(2): 197-204

LI Chun-jing, GU Chuan-qing. Epsilon-Algorithm and Eta-Algorithm of Generalized Inverse Function-Valued Padé Approximants Using for Solution of Integral Equations[J]. Applied Mathematics and Mechanics, 2003, 24(2): 197-204.

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

LI Chun-jing^1,2,
GU Chuan-qing²

1.
Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China;
2.
Department of Mathematics, Tongji University, Shanghai 200331, P. R. China

Received Date: 2001-07-19
Rev Recd Date: 2002-09-17
Publish Date: 2003-02-15

Abstract

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 identification of the Padé approximants is also established by means of the connection of two algorithms.
- generalized inverse,
- function-valued Padé approximant,
- epsilon-algorithm,
- eta-algorithm,
- integral equation

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References

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