Issue No. 04 - April (1983 vol. 32)
D.W. Lozier , U.S. Department of Commerce, National Bureau of Standards
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.
rounding error analysis, Arithmetic algorithms, error propagation, floating-point computation, inner-product accumulation, interval analysis, interval arithmetic, relative precision
D.W. Lozier, "The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds", IEEE Transactions on Computers, vol. 32, no. , pp. 411-417, April 1983, doi:10.1109/TC.1983.1676245