Title :
Floating-Point Computation of Functions with Maximum Accuracy
Author_Institution :
Institute of Applied Mathematics, University of Karlsruhe
fDate :
7/1/1977 12:00:00 AM
Abstract :
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.
Keywords :
Accuracy, errors, floating-point computations, multiple-length mantissas, roots of floating-point numbers, rounding.; Floating-point arithmetic; Mathematics; Newton method; Accuracy, errors, floating-point computations, multiple-length mantissas, roots of floating-point numbers, rounding.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1977.1674894
