In numerical analysis, catastrophic cancellation is the phenomenon that subtracting good approximations to two nearby numbers may yield a very bad approximation...

mathematical expressions Catastrophic cancellation, numerical error arising from subtracting approximations to nearby numbers Noise cancellation, a method for reducing...

{\displaystyle \textstyle -{\sqrt {b^{2}-4ac}}} , subtraction can cause catastrophic cancellation, resulting in poor accuracy in numerical calculations; choosing...

difference between two approximately equal quantities results in catastrophic cancellation: because most of the digits of each quantity are the same, they...

The Sterbenz lemma may be contrasted with the phenomenon of catastrophic cancellation: The Sterbenz lemma asserts that if x {\displaystyle x} and y...

location parameter, a property which can be used to avoid the catastrophic cancellation in this formula. Var ⁡ ( X − K ) = Var ⁡ ( X ) . {\displaystyle...

\left[Y\right],\end{aligned}}} but this equation is susceptible to catastrophic cancellation (see the section on numerical computation below). The units of...

of the operands in calculations, and worst: cancellation at subtractions resp. 'Catastrophic cancellation' at subtraction of values with similar magnitude...

{\displaystyle \lambda _{j}\approx \lambda _{i}} for some isotope pair, catastrophic cancellation can lead to computational errors. Therefore, other methods such...

calculating a floating-point dot product of vectors can suffer from catastrophic cancellation. To avoid this, approaches such as the Kahan summation algorithm...