A family of Pad e-type approximants for accelerating the convergence of sequences
نویسنده
چکیده
We describe a collection of Pad e-type methods for accelerating the convergence of sequence of functions. The construction and connections of Pad e’s methods with other similar methods are given. We examine the e ectiveness of these new methods, namely integral Pad e approximant, modi ed Pad e approximant and squared Pad e approximant together with the well-established methods, namely functional Pad e approximant and classical Pad e approximant, for approximating the characteristic value and corresponding characteristic function. Estimates of characteristic value and characteristic function derived using integral Pad e approximants are found to be substantially more accurate than other similar methods. c © 1999 Elsevier Science B.V. All rights reserved.
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