Automatic Error Analysis for Determining Precision

The problem considered is that of evaluating a
rational expression to within any desired tolerance 
on a computer which performs variable-precision floating-point
arithmetic operations.    An automatic 
error analysis technique is given for determining, directly
from the results of a trial low-precision 
interval arithmetic calculation, just how much precision
and data accuracy are required to achieve a 
desired final accuracy.  The technique given generalize
easily to the evaluation of many nonrational 
expressions.

CACM September, 1972

Richman, P. L.

error analysis, interval arithmetic, precision control

5.11

CA720904 JB January 27, 1978  4:39 PM

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