Implementation and Evaluation of Interval Arithmetic Software. Report 3. The Honeywell G635 System.
KANSAS UNIV LAWRENCE DEPT OF COMPUTER SCIENCE
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This is Report 3 of a series entitled Implementation and Evaluation of Interval Arithmetic Software. The series concerns implementation and evaluation of an interval arithmetic software package on six different computer systems. The most significant fact that has emerged from this project is that interval arithmetic has limited value as a tool for analyzing real algorithms. The limitation is specifically dependency. The magnitude and complexity of many of the problems being solved at the Waterways Experiment Station make interval analysis of the solution algorithms and sensitivity analysis of the data extremely difficult to accomplish with very high reliability using the current package. The effort to employ interval arithmetic might better be directed toward development of new algorithms based on interval concepts than toward analysis of real algorithms currently in use. Alternatively, redefining the arithmetic operations and interval representation might convert interval into a more practical tool for analysis of the real algorithms.
- Theoretical Mathematics
- Computer Programming and Software
- Computer Hardware