Interval Arithmetic IEEE Standardization Variable Precision Interval Arithmetic Evaluation of Functions Hardware Support
Issue Date:
2010
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Journal of Computing, Vol. 4, No 1, (2010), 29p-42p
Abstract:
Basic concepts for an interval arithmetic standard are discussed
in the paper. Interval arithmetic deals with closed and connected sets of real
numbers. Unlike floating-point arithmetic it is free of exceptions. A complete
set of formulas to approximate real interval arithmetic on the computer
is displayed in section 3 of the paper. The essential comparison relations and
lattice operations are discussed in section 6. Evaluation of functions for interval
arguments is studied in section 7. The desirability of variable length
interval arithmetic is also discussed in the paper. The requirement to adapt
the digital computer to the needs of interval arithmetic is as old as interval
arithmetic. An obvious, simple possible solution is shown in section 8.
