Round-off error - Revision history

Karl Jones: /* External links */

2016-04-20T23:24:42Z

‎External links

Karl Jones: /* See also */

2016-03-01T00:49:59Z

‎See also

Karl Jones: /* See also */

2016-03-01T00:42:29Z

‎See also

Karl Jones at 15:25, 5 February 2016

2016-02-05T15:25:17Z

Karl Jones: /* See also */

2015-09-13T11:49:57Z

‎See also

Karl Jones at 11:49, 13 September 2015

2015-09-13T11:49:29Z

Karl Jones: Created page with "In mathematics, a '''round-off error''', also called '''rounding error''', is the difference between the calculated approximation of a number and its exact mathematica..."

2015-09-13T11:49:14Z

Created page with "In mathematics, a '''round-off error''', also called '''rounding error''', is the difference between the calculated approximation of a number and its exact mathematica..."

New page

In [[mathematics]], a '''round-off error''', also called '''rounding error''', is the difference between the calculated [[approximation]] of a number and its exact mathematical value due to [[rounding]].

(TO DO: expand, organize, cross-reference, illustrate.)

== Description =]

Round-off error is a form of [[quantization error]].

One of the goals of [[numerical analysis]] is to [[error analysis (mathematics)|estimate]] errors in calculations, including round-off error, when using approximation [[equation]]s and/or [[algorithm]]s, especially when using finitely many digits to represent real numbers (which in theory have infinitely many digits).

When a sequence of calculations subject to rounding error is made, errors may accumulate, sometimes dominating the calculation. In [[ill-conditioned]] problems, significant error may accumulate.

== Representation error ==

The error introduced by attempting to represent a number using a finite string of digits is a form of round-off error called ''representation error''.

== See also ==

* [[Algorithm]]
* [[Error analysis (mathematics)]]
* [[Mathematics]]
* [[Numerical analysis]]
* [[Rounding]]

== External links ==

* [https://en.wikipedia.org/wiki/Round-off_error Round-off error] @ Wikipedia

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	* [https://en.wikipedia.org/wiki/Round-off_error Round-off error] @ Wikipedia		* [https://en.wikipedia.org/wiki/Round-off_error Round-off error] @ Wikipedia
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	In [[mathematics]], a '''round-off error''', also called '''rounding error''', is the difference between the calculated [[approximation]] of a number and its exact mathematical value due to [[rounding]].		In [[mathematics]], a '''round-off error''', also called '''rounding error''', is the difference between the calculated [[approximation]] of a number and its exact mathematical value due to [[rounding]].
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−	~~(TO DO: expand, organize, cross-reference, illustrate.)~~

	== Description ==		== Description ==

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 * [[Algorithm]]
 * [[Computer science]]
 * [[Error analysis (mathematics)]]

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 * [[Mathematics]]
 * [[Numerical analysis]]
 * [[Rounding]]

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 (TO DO: expand, organize, cross-reference, illustrate.)
-== Description =]
+== Description ==
 Round-off error is a form of [[quantization error]].