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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Procedures for estimating the error in Padé approximation


Author: Claude Brezinski
Journal: Math. Comp. 53 (1989), 639-648
MSC: Primary 65D32; Secondary 41A21, 65G05
MathSciNet review: 979935
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Abstract: Kronrod's procedure is a method for estimating the error in Gaussian quadrature methods. Padé approximants are formal Gaussian quadrature formulas. In a previous paper, Kronrod's method was used to obtain estimates of the error in Padé approximation. Using a new interpretation of this procedure and three different expressions of the error of Padé approximants, extensions of the method are obtained. They provide new error estimates for Padé approximants. These estimates are compared.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1989-0979935-0
PII: S 0025-5718(1989)0979935-0
Article copyright: © Copyright 1989 American Mathematical Society