Difference between revisions of "ApCoCoA-1:Num.ProjectAVI"
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| − | <command> | + | {{Version|1}} |
| + | <command> | ||
<title>Num.ProjectAVI</title> | <title>Num.ProjectAVI</title> | ||
| − | <short_description> | + | <short_description>Computes the least squares solution of the general problem <tt>Ax=b</tt>, where <tt>x</tt> are coefficients of an order ideal.</short_description> |
<syntax> | <syntax> | ||
Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):POLY | Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):POLY | ||
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<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. | <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/> | <par/> | ||
| − | + | This command computes the least squares solution of the general problem <tt>Ax=b</tt>, if there is no exact solution. The solution <tt>x</tt> has to be interpreted as the coefficients of the terms in the order ideal. | |
<itemize> | <itemize> | ||
| − | <item>@param <em>Mat</em> Matrix A</item> | + | <item>@param <em>Mat</em> Matrix <tt>A</tt></item> |
| − | <item>@param <em>Vec</em> Vector B | + | <item>@param <em>Vec</em> Vector <tt>B</tt> as a matrix.</item> |
<item>@param <em>OI</em> Order Ideal</item> | <item>@param <em>OI</em> Order Ideal</item> | ||
| − | <item>@return The least squares | + | <item>@return The least squares solution of <tt>Ax=b</tt> interpreted as coefficients of <tt>OI</tt>.</item> |
</itemize> | </itemize> | ||
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-- CoCoAServer: computing Cpu Time = 0 | -- CoCoAServer: computing Cpu Time = 0 | ||
------------------------------- | ------------------------------- | ||
| − | [ | + | ["-0.99 x +1 y "] |
------------------------------- | ------------------------------- | ||
</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> | ||
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<key>ProjectAVI</key> | <key>ProjectAVI</key> | ||
<key>numerical.projectavi</key> | <key>numerical.projectavi</key> | ||
| − | <wiki-category>Package_numerical</wiki-category> | + | <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.ProjectAVI
Computes the least squares solution of the general problem Ax=b, where x are coefficients of an order ideal.
Syntax
Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):POLY
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 general problem Ax=b, if there is no exact solution. The solution x has to be interpreted as the coefficients of the terms in the order ideal.
@param Mat Matrix A
@param Vec Vector B as a matrix.
@param OI Order Ideal
@return The least squares solution of Ax=b interpreted as coefficients of OI.
Example
Dec(Num.ProjectAVI([[1,1],[0,1],[1,1]],[[0],[1],[0]],[x,y]),2); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- ["-0.99 x +1 y "] -------------------------------
See also
