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Floating-Point Computation of Functions with Maximum Accuracy
July 1977 (vol. 26 no. 7)
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.
Index Terms:
Accuracy, errors, floating-point computations, multiple-length mantissas, roots of floating-point numbers, rounding.
Citation:
G. Bohlender, "Floating-Point Computation of Functions with Maximum Accuracy," IEEE Transactions on Computers, vol. 26, no. 7, pp. 621-632, July 1977, doi:10.1109/TC.1977.1674894
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