Tabulation of constants for full grade approximants

Authors:
V. Zakian and M. J. Edwards

Journal:
Math. Comp. **32** (1978), 519-531

MSC:
Primary 65A05

DOI:
https://doi.org/10.1090/S0025-5718-1978-0483277-2

MathSciNet review:
0483277

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Abstract | References | Similar Articles | Additional Information

Abstract: For the approximant of is

*f*, approximants of full grade are capable of giving good approximation both for small and large

*t*. These and other properties of full grade approximants make them particularly useful in a wide range of practical applications. The constants , of full grade approximants are generated by partial fraction decompositions of certain Padé approximants to . The purpose of this paper is firstly to tabulate the constants , for all full grade approximants for ; secondly, to give accurate estimates of their precision; and thirdly, to describe the methods of tabulation and estimation in sufficient detail to allow the results of this paper to be extended readily.

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DOI:
https://doi.org/10.1090/S0025-5718-1978-0483277-2

Article copyright:
© Copyright 1978
American Mathematical Society