This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds
April 1983 (vol. 32 no. 4)
pp. 411-417
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.
Index Terms:
rounding error analysis, Arithmetic algorithms, error propagation, floating-point computation, inner-product accumulation, interval analysis, interval arithmetic, relative precision
Citation:
D.W. Lozier, "The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds," IEEE Transactions on Computers, vol. 32, no. 4, pp. 411-417, April 1983, doi:10.1109/TC.1983.1676245
Usage of this product signifies your acceptance of the Terms of Use.