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

Accurate computation of divided differences of the exponential function


Authors: A. McCurdy, K. C. Ng and B. N. Parlett
Journal: Math. Comp. 43 (1984), 501-528
MSC: Primary 65D20; Secondary 33A10, 65G05
MathSciNet review: 758198
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Abstract: The traditional recurrence for the computation of exponential divided differences, along with a new method based on the properties of the exponential function, are studied in detail in this paper. Our results show that it is possible to combine these two methods to compute exponential divided differences accurately. A hybrid algorithm is presented for which our error bound grows quite slowly with the order of the divided difference.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1984-0758198-0
PII: S 0025-5718(1984)0758198-0
Article copyright: © Copyright 1984 American Mathematical Society