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.
generalized inverse function-valued Padé approximant epsilon-algorithm eta-algorithm integral equations
Chinese Library Classification
2000 MR Subject Classification
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