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Issue No. 07 - July (1977 vol. 26)
ISSN: 0018-9340
pp: 621-632
G. Bohlender , Institute of Applied Mathematics, University of Karlsruhe
Algorithms are given that compute multiple sums and products and arbitrary roots of floating-point numbers with maximum accuracy, The summation algorithm can be applied to compute scalar products, matrix products, etc. For all these functions, simple error formulas and the smallest floating-point intervals containing the exact result can be obtained.
Accuracy, errors, floating-point computations, multiple-length mantissas, roots of floating-point numbers, rounding.

G. Bohlender, "Floating-Point Computation of Functions with Maximum Accuracy," in IEEE Transactions on Computers, vol. 26, no. , pp. 621-632, 1977.
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