Floating-Point Computation of Functions with Maximum Accuracy

Authors:
G. Bohlender
Affiliations:
Institute of Applied Mathematics, University of Karlsruhe
Venue:
IEEE Transactions on Computers
Year:
1977

Citing 4
Cited 1

Accurate floating-point summation

Communications of the ACM
On accurate floating-point summation

Communications of the ACM
Pracniques: further remarks on reducing truncation errors

Communications of the ACM
Roundings in Floating-Point Arithmetic

IEEE Transactions on Computers

Computation of the monodromy matrix in floating point arithmetic with the Wilkinson Model

Computers & Mathematics with Applications

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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.