Difference between revisions of "ApCoCoA-1:Num.ProjectAVI"
From ApCoCoAWiki
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<short_description>Calculates the least squares solution to the general problem Ax=b, where x are coefficients of an order ideal</short_description> | <short_description>Calculates the least squares solution to the general problem Ax=b, where x are coefficients of an order ideal</short_description> | ||
<syntax> | <syntax> | ||
− | Num.ProjectAVI(Mat: | + | Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):POLY |
</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/> | |
Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The solution x is interpreted as the coefficients of the terms in the order ideal. | Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The solution x is interpreted as the coefficients of the terms in the order ideal. | ||
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<key>Num.ProjectAVI</key> | <key>Num.ProjectAVI</key> | ||
<key>ProjectAVI</key> | <key>ProjectAVI</key> | ||
<wiki-category>Package_numerical</wiki-category> | <wiki-category>Package_numerical</wiki-category> | ||
</command> | </command> |
Revision as of 16:47, 23 April 2009
Num.ProjectAVI
Calculates the least squares solution to 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.
Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The solution x is interpreted as the coefficients of the terms in the order ideal.
@param Mat Matrix A
@param Vec Vector B in matrix form.
@param OI Order Ideal
@return The least squares soltion to 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