The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds

Authors:
D. W. Lozier
Affiliations:
U.S. Department of Commerce, National Bureau of Standards
Venue:
IEEE Transactions on Computers
Year:
1983

Citing 3
Cited 0

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Abstract

Three forms of interval floating-point arithmetic are defined in terms of absolute precision, relative precision, and combined absolute and relative precision. The absolute-precision form corresponds to the centered form of conventional rounded-interval arithmetic. The three forms are compared on the basis of the number of floating-point operations needed to generate error bounds for inner-product accumulation.