ApCoCoA-1:Num.LeastSquaresQR: Difference between revisions
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<command> | {{Version|1}} | ||
<title> | <command> | ||
<short_description> | <title>Num.LeastSquaresQR</title> | ||
<short_description>Computes the least squares solution of the linear system of equations <tt>Ax=b</tt>.</short_description> | |||
<syntax> | <syntax> | ||
Num.LeastSquaresQR(Mat: | Num.LeastSquaresQR(Mat:MAT, Vec:MAT):LIST | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | |||
<par/> | |||
This command computes the least squares solution of the linear system of equations <tt>Ax=b</tt>, if there is no exact solution. The matrix <tt>Mat</tt> must have the same number of rows as <tt>Vec</tt>. | |||
The QR decomposition of <tt>Mat</tt> is used to find the solution. | |||
<itemize> | |||
<item>@param <em>Mat</em> Matrix <tt>A</tt> of the linear system of equations.</item> | |||
<item>@param <em>Vec</em> Vector <tt>B</tt> as a matrix.</item> | |||
<item>@return The least squares solution to <tt>Ax=b</tt>.</item> | |||
</itemize> | |||
<example> | <example> | ||
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-- CoCoAServer: computing Cpu Time = 0 | -- CoCoAServer: computing Cpu Time = 0 | ||
------------------------------- | ------------------------------- | ||
["-0.99", "1"] | |||
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
<seealso> | <seealso> | ||
<see>Introduction to CoCoAServer</see> | <see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see> | ||
</seealso> | </seealso> | ||
<types> | <types> | ||
<type> | <type>apcocoaserver</type> | ||
<type>matrix</type> | |||
</types> | </types> | ||
<key>Num.LeastSquaresQR</key> | <key>Num.LeastSquaresQR</key> | ||
<key>LeastSquaresQR</key> | <key>LeastSquaresQR</key> | ||
<wiki-category>Package_numerical</wiki-category> | <key>numerical.leastsquaresqr</key> | ||
<wiki-category>ApCoCoA-1:Package_numerical</wiki-category> | |||
</command> | </command> | ||
Latest revision as of 13:47, 29 October 2020
| This article is about a function from ApCoCoA-1. |
Num.LeastSquaresQR
Computes the least squares solution of the linear system of equations Ax=b.
Syntax
Num.LeastSquaresQR(Mat:MAT, Vec:MAT):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This command computes the least squares solution of the linear system of equations Ax=b, if there is no exact solution. The matrix Mat must have the same number of rows as Vec.
The QR decomposition of Mat is used to find the solution.
@param Mat Matrix A of the linear system of equations.
@param Vec Vector B as a matrix.
@return The least squares solution to Ax=b.
Example
Dec(Num.LeastSquaresQR([[1,1],[0,1],[1,1]],[[0],[1],[0]]),2); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- ["-0.99", "1"] -------------------------------
See also
