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Floating-Point Computation of Functions with Maximum Accuracy

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1 Author(s)
Bohlender, Gerd ; 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.

Published in:

Computers, IEEE Transactions on  (Volume:C-26 ,  Issue: 7 )