A statistical study of the accuracy of floating point number systems
Communications of the ACM - Special 25th Anniversary Issue
A statistical study of the accuracy of floating point number systems
Communications of the ACM
Capitalizaton of language references
Communications of the ACM
Communications of the ACM
Computers & Mathematics with Applications
On the Precision Attainable with Various Floating-Point Number Systems
IEEE Transactions on Computers
Estimating Computational Noise
SIAM Journal on Scientific Computing
Hi-index | 48.27 |
In any prolonged computation it is generally assumed that the accumulated effect of roundoff errors is in some sense statistical.The purpose of this paper is to give precise descriptions of certain probabilistic models for roundoff error, and then to describe a series of experiments for testing the validity of these models.It is concluded that the models are in general very good. Discrepancies are both rare and mild.The test techniques can also be used to experiment with various types of special arithmetic.