Approximation error: Difference between revisions

Revision as of 17:53, 22 November 2021

Revision as of 17:54, 22 November 2021

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and the '''percent error''' (an expression of the relative error) is

:<math>\delta = 100\%\times\eta = 100\%\times\frac{\epsilon}{|v|} = 100\%\times\left| \frac{v-v_\text{approx}}{v} \right|.</math>

In words, the absolute error is the [[Magnitude (mathematics)|magnitude]] of the difference between the exact value and the approximation. The relative error is the absolute error divided by the magnitude of the exact value. The percent error is the relative error expressed in terms of per 100.

An '''error bound''' is an upper limit on the relative or absolute size of an approximation error.