Best “ordering” for floating-point addition
ACM Transactions on Mathematical Software (TOMS)
On accurate floating-point summation
Communications of the ACM
Reducing truncation errors using cascading accumulators
Communications of the ACM
| Hi-index | 48.25 |
In accumulating a sum such as in a numerical integration with a large number of intervals, the sum itself becomes much larger than the individual addends. This may produce a less accurate sum as the number of intervals is increased.Separate variables can be established as accumulators to hold partial sums within various distinct intervals. Thus, the extensive successive truncations are eliminated.